Key Features of Exponential Functions

Given y=3^x determine the initial value

• 1

• 3

• 0

• 1/3

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

In an exponential function, what does the 'a' represent?

• Slope

• Rate of change

• initial value

• constant ratio

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Look at the graph and answer each question.

Is the graph increasing or decreasing?

What is the y-intercept?

What is the asymptote?

• Increasing

  y-intercept: (0, 5)

  asymptote: y = 0

• Decreasing

  y-intercept: (0, 5)

  asymptote: y = 0

• Increasing

  y-intercept: (0, 5)

  asymptote: y = 5

• Decreasing

  y-intercept: (5, 0)

  asymptote: x = 0

What represents Growth/Decay on f(x)=a⋅b^x ?

• x

• a

• b

• Idk

What type of function is y=7(5)^x

• Exponential Growth

• Linear Function

• Exponential Decay

• Quadratic Function

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

• 2

• 4

• (4)^x

• 8

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

• 2

• 8

• 4

• x

Which inequality best represents the domain of the graph above?

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