Evaluate and Solve Exponential Functions

Evaluate the function for the given value:

f (x) = 5^x for f(4)

• 20

• 625

• 125

• 25

An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f (x) = 8000(2)^x, where x is the number of 7 year periods. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?

• $128,000

• $1,024,000

• $2,147,483,648,000

• $112,000

A new car costs $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year for the 10 years they are planning to build the car. The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)^t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

• $22,554.45

• $23,907.72

• $19,678.32

• $45,678.91

Linear, exponential, or neither?

y = 4(3)^x

• Linear

• Exponential

• Neither

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Fill in the table with the correct values

f

g

h

i

j

0.222

2

-1

6

12

4.5

1.5

3

18

0.667

The table represents an exponential function.

Find the value for j.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

• 27

• 9

• 6

• 12