Exponential and Logarithm Review

What is the asymptote of y = log₂(x - 3) ?

• y = 0

• x = 0

• y = 3

• x = 3

What is the asymptote of y = 2^x - 3?

• y = 0

• x = 0

• y = -3

• x = -3

Which one means left

Which one means up

Which one means the function goes down on the left

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.

• The initial amount of grams.

• The amount of grams the material is losing.

• The amount of grams remaining after so many years

What is the Growth/Decay factor of the function f(x)= 2(4)^x ?

• 2

• 4

• 8

• x

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(14)^x

• y= 6500(1-.14)^x

• y= 14(6500)^x

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $57,357.75

• $424,527.63

• $532,041,076.80

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327

• 839

• 4309

• 7680