Algebra Exponential Review

Write the equation that matches the table

x y

0 6

1 12

2 24

3 48

• y = 6(2)^x

• y = 6(1/2)^x

• y = 48(2)^x

• y = 6+2x

The graph of this function is a curve going up really fast or down really fast. 

• Linear 

• Exponential

• Neither

This is an exponential function.

• True

• False

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

• y= 6500(1+.14)^x

• y= 6500(1-.14)^x

• y= 6500(14)^x

• y= 14(6500)^x

What is the y-intercept of the function f(x)=2(4)^x ?

• 2

• 4

• (4)^x

• 8

The amount of ants in a colony, f, that is decaying can be modeled by                         f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose           f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.

• After 49 days there are 20 ants in the colony.

• The amount of ants times 20 is 49.

• After 20 days the amount of ants remaining decreases by 49.

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

• $0.29

• $2,900,000,000

• $46,704.79

• $145,000

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth