Algebra 2 7-2 Guided Practice: Properties of Exponential Functions

by Matthew Richardson

| 9 Questions1

10

Solve It! f and g are exponential functions with the same base.

Is the graph of g

● a compression,

● a reflection, or

● a translation

of the graph of f ? Or is it none of the above? Select all that apply.

A compression

A reflection

A translation

None of the above

2

2

10

Problem 1 Got It?

A

B

C

D

3

3

10

Problem 2 Got It?

A

B

C

D

4

4

10

Problem 2 Got It?

A

B

C

D

5

10

Problem 3 Got It? Use the exponential model from Problem 3.

How long does it take for the coffee to reach a temperature of 100 degrees?

About 21.3 minutes

About 27.0 minutes

About 31.9 minutes

6

10

Problem 3 Got It? Reasoning: In Problem 3, would the model of the exponential data be useful if you did not translate the data by 68 units? Explain.

Yes; since a hot drink in this scenario may cool well below room temperature, it is not necessary to translate the data.

No; a hot drink in this scenario will not cool below room temperature. In order to use exponential data, it is important to translate the data up 68 units.

No; a hot drink in this scenario will not cool below room temperature. In order to use exponential data, it is important to translate the data left 68 units.

7

10

Problem 4 Got It? How can you use a graphing calculator to calculate e8?

Use the ex key, x = 8

Graph y = ex and find y for x = 8

Use the table of values for y = ex and find y for x = 8

All of the above

8

10

Problem 4 Got It? Calculate e8. Round to 5 decimal places. Enter only a number with no commas or spaces.

9

9

10

Problem 5 Got It? Scholarships: Suppose you won a contest at the start of 5th grade that deposited $3000 in an account that pays 5% annual interest compounded continuously. How much will you have in the account when you finish high school 8 years later? Express the answer to the nearest dollar.

A

B

C

D

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