7.3 Graphing Logarithmic Functions Homework Name:__________________________________________________________________________ Period:______ Directions: Draw the appropriate parent function with a dotted line. Plot three visible points on each graph to show the indicated transformation. Determine the domain and range for the transformed graph.

6

4

4

2

2

-2

2

-6

Domain:

-4

-2

2

-8

-10

-10

Domain:

10

8

8

6

6

4

4

2

2 2

4

6

8

10

-10

-8

-6

-4

-2

2

-2

-2

-4

-4

-6

-6

-8

-8

-10

-10

Domain:

10

8

8

6

6

4

4

2

2 2

4

6

8

10

-10

-8

-6

-4

-2

2

-2

-2

-4

-4

-6

-6

-8

-8

-10

-10

Range:

Domain:

10

4

6

8

10

6

8

10

Y

10

-2

8

Range:


= −log ( + 7) − 1

Y

6

Y

10

-2

4

Range:


= log( + 3) + 6

Range:

-4

-6

-6

Range:

-4

-8

-8

Y

-6

-10

-4


= log  ( − 1) − 2

-8

10

-6

Domain:

-10

8

-4


= log (−)

-8

6

-2

Domain:

-10

4

-2

X

8

6

X

-4

8

X

-6

10

X

-8

Y

10

X

-10


= log ( + 4)

Y

4

Range:

X


= log   − 5

7.1-7.3 Additional Practice Name:__________________________________________________________________________ Period:______ 1.

2.

7.1: Write an exponential function in the form y=a(b)x to model each situation. a.

A population of 1,236,000 grows 1.3% each year.

b.

A new car that sells for $18,000 depreciates 25% each year

7.1: Complete the table below.

Equation

Y-Intercept

Growth or Decay?

increase Percent  decrease

Growth/Decay Factor

Y = 0.99(1/3)x Y = 20(1.85)x Y = 1.05x !

Graph
 =  2#$ − 1

"

3.

7.2: Graph
=– 10

4.

7.2: Find the amount in a continuously compounded account for the given conditions:



Starting value $5000, interest rate 6.9%, time 30 years.

5.

7.3: Write each equation in logarithmic form. a.

6.

92 = 81

b.

!

%&

= 4'

7.3: Evaluate each logarithm. Show your work. a.

log  81

b. log ) 32

c. log

!

!%

"