Comparing Functions Notes KJ.notebook

March 09, 2015

Warm-Up For each of the following situations, indicate whether it is changing linearly or  exponentially (growth or decay) 1.  A bank account that you put $200 in each month 2.  A car whose value depreciates 12% each year 3.  A population that increases 4% each year 4.  A dose of tylenol that leaves half as much in your system every 2 hours

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Comparing Functions Notes KJ.notebook

March 09, 2015

The graph below shows the graphs of the exponential functions f(x) = c  3x   and g(x) = d  2x 1.  Which is greater, c or d?  How do you know?

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Comparing Functions Notes KJ.notebook

March 09, 2015

Mr. Wiggins gives his daughter Celia two choices of payment for raking leaves. Option 1) Two dollars for each bag of leaves filled Option 2) She will be paid two cents for filling one bag, four cents for filling two bags, eight cents for filling three bags, and so on with the amount doubling for each additional bag filled a) If Celia rakes enough to fill 5 bags of leaves, should she opt for payment method 1 or 2? What if she rakes 10 bags of leaves?

b) How many bags of leaves would Celia have to fill before method 2 pays more than method 1?

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Comparing Functions Notes KJ.notebook

March 09, 2015

The following tables show the values of linear, quadratic and exponential  functions.  Indicate which function type corresponds to each table:

B

A

D

C

x

y

x

y

x

y

x

y

1

6

1

7

1

6

1

56

2

9

2

14

2

9

2

28

3

12

3

28

3

14

3

14

4

15

4

56

4

21

4

7

How do you know what type each is? hOW h

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Comparing Functions Notes KJ.notebook

f(x) = 1/4x2

March 09, 2015

h(x)

g(x) x

y

-2

-5

0

-2

2

1

4

4

Which of the following functions increases at the fastest rate over the interval [0, 2]? What is the growth rate for... f(x) ________ g(x) __________

h(x) ______________

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