Exponential Basics

• x = 0

• y = 0

• x = 3

• y = 3

• Growth

• Decay
  

The graph represents the equation below. katex latex="y=2\left(4\right)^x" What is the Range?

The graph represents the equation below. katex latex="y=2\left(4\right)^x" What is the Asymptote?

• y = 0

• y = 2

• x = 0

• x = 2

The graph represents the equation below. Is this Growth or Decay?

• Growth
  

• Decay
  

Which function has a smaller y-intercept? f(x) = 25(2)^x or g(x) which is shown in the table above. Try to do this without graphing!!

• f(x) because 25 is greater than 20

• f(x) because 2 is less than 4

• g(x) because 20 is smaller than 25

• g(x) because the common ratio is 3 and the common ratio for f(x) is 2

Write an exponential equation that represents the table shown above.

What is the asymptote of the following function?

• y = 3

• x = 3

• y = -3

• x = -3