Review Exponential Functions

Which of the following are examples of exponential decay? (Select all that apply)

• f(x)= 4/7(1.18)^x

• A cars value depreciates by 18% per year.

• f(x)= 0.3(1.5)^x

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

What is the asymptote of the function y=5(0.5)^x ?

• X=5

• x=0.5

• x=0

• x=1

What is the asymptote of the exponential function represented by the graph above?

• x = 0

• x = 4

• x = -4

• x = -3

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Jamie's podcast has 1,400 subscribers. The number of her subscribers is increasing at a rate of 5.9% each week. Which function would represent her followers after w weeks?

• y = 1400(1.059)^w

• y = 105.9(1400)^w

• y = 1400(1.59)^w

• y = 1400(5.9)^w

The amount of bacteria in a sample after x hours can be represented by the function y = 200(3)^x. What does (3)^x mean in this context?

• There are 3 bacterium at the beginning

• The bacteria is tripling every hour

• The bacteria is increasing by 3% every hour

• The bacteria is decreasing by 3% every hour

What value of x makes this equation true? 4^x = 262,144

• 9

• 10

• 11

• 12

The number of rabbits in Rabbit Forest can be modeled by the function R(x) = a₀(3)^x, where x is the time in years since the rabbits migrated there.

After five years, 1,458 rabbits are in Rabbit Forest. What was the initial population of rabbits?

• 3

• 4

• 5

• 6

What value of x makes the equation below true?5^2x-3 = 3125

• 2

• 4

• 6

• 8