Instructions: You will receive a polynomial function and one or two toys. You will need to : • evaluate the function in the given point(s) • locate the point(s) and place the toy(s) in the location with the coordinates that you found • After all students are done placing their toys, write your observations on the paper and draw a sketch of the function on your graph paper
Polynomial #1: y=0.5x2+6
Questions: 1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #1: y=0.5x2+6
x=4.5 y=...........
x=4.25 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=4.25 y=...........
x=4 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
1
Lifesize graph activity
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=3 y=...........
x=2 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=1 y=...........
x=0 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=0 y=...........
x=1 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
2
Lifesize graph activity
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=2 y=...........
x=3 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=4 y=...........
x=4.25 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #1: y=0.5x2+6
Polynomial #1: y=0.5x2+6
x=4.5 y=...........
x=5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3
Lifesize graph activity
Polynomial #2: y=x34x
Polynomial #2: y=x34x
x=2.5 y=...........
x=2.25 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #2: y=x34x
Polynomial #2: y=x34x
x=2 y=...........
x=1.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #2: y=x34x
Polynomial #2: y=x34x
x=1 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
4
Lifesize graph activity
Polynomial #2: y=x34x
Polynomial #2: y=x34x
x=0 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #2: y=x34x
Polynomial #2: y=x34x
x=1 y=...........
x=1.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #2: y=x34x
Polynomial #2: y=x34x
x=2 y=...........
x=2.25 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
5
Lifesize graph activity
Polynomial #2: y=x34x
Polynomial #3: y=0.25x3+4x+1
x=2.5 y=...........
x= 4.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #3: y=0.25x3+4x+1
Polynomial #3: y=0.25x3+4x+1
x=4 y=...........
x=3.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #3: y=0.25x3+4x+1
Polynomial #3: y=0.25x3+4x+1
x=2.5 y=...........
x=1.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
6
Lifesize graph activity
Polynomial #3: y=0.25x3+4x+1
Polynomial #3: y=0.25x3+4x+1
x=1 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #3: y=0.25x3+4x+1
Polynomial #3: y=0.25x3+4x+1
x=0 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #3: y=0.25x3+4x+1
Polynomial #3: y=0.25x3+4x+1
x= 1.25 y=...........
x= 2.25 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
7
Lifesize graph activity
Polynomial #3: y=0.25x3+4x+1
Polynomial #3: y=0.25x3+4x+1
x=3.5 y=...........
x= 4 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #3: y=0.25x3+4x+1
Polynomial #4: y= 0.6x4+2x3+x25x+4
x= 4.5 y=...........
x= 2 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #4: y= 0.6x4+2x3+x25x+4
x=1.75 y=...........
x= 1.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
8
Lifesize graph activity
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #4: y= 0.6x4+2x3+x25x+4
x= 1 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #4: y= 0.6x4+2x3+x25x+4
x= 0 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #4: y= 0.6x4+2x3+x25x+4
x=1 y=...........
x= 1.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
9
Lifesize graph activity
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #4: y= 0.6x4+2x3+x25x+4
x=2 y=...........
x=2.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #4: y= 0.6x4+2x3+x25x+4
x= 3 y=...........
x=3.2 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #4: y= 0.6x4+2x3+x25x+4
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=3.5 y=...........
x=3.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
10
Lifesize graph activity
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=3.2 y=...........
x= 3 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=2.5 y=...........
x=2 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=1.5 y=...........
x= 1 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
11
Lifesize graph activity
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x= 0.3 y=...........
x=0.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=1 y=...........
x=1.3 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=2 y=...........
x=2.5 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
12
Lifesize graph activity
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
Polynomial #5: y= 0.4x4+0.5x33.8x22.4x+3
x=2.8 y=...........
x=3 y=...........
Questions:
Questions:
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
1.
What is the end behavior of the function (+ or ) to the left .....................right...................
2.
Write the coordinates of the min or max points that appear to occur........................................
2.
Write the coordinates of the min or max points that appear to occur........................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
3.
In what point(s) the polynomial seems to cross the xaxis? .......................................................
Page 1 of 13. Lifesize graph activity. 1. Activity: Lifesize graph. You will receive a polynomial function and one or. two toys. You will need to : ⢠evaluate the ...
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capability. Phone Touchscreen powers both audio. and video. * Requires LifeSize UVC Platform, available as virtual. machine software or hardware. Page 1 of 2 ...
