Basics on Exponential Functions

• x = 0

• y = 0

• x = 3

• y = 3

• increases, approaches but never reaches 0.

• decreases, approaches but never reaches 0.
  

• increases, decreases
  

• decreases, increases

• Growth

• Decay
  

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

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

The graph represents the equation below. As x decreases, y ____________ and as x increases, y ____________.

• increases, decreases

• decreases, increases

• approaches but never reaches 0, increases

• approaches but never reaches 0, decreases

• 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

What is the asymptote of the following function?

• y = 3

• x = 3

• y = -3

• x = -3

What is the end behavior of the following function?

• As x decreases, f(x) approaches, but never reaches 3. As x increases, f(x) increases.

• As x decreases, f(x) approaches, but never reaches 0. As x increases, f(x) increases.

• As x decreases, f(x) decreases. As x increases, f(x) increases.

• As x decreases, f(x) decreases. As x increases, f(x) approaches, but never reaches 3.