Stretching Exponential Functions

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Exploration

GR. 9-12

Skill:

Identify transformations on nonlinear parent functions using function notation, algebraic equations, or graphs.

Stretching Exponential Functions

Dilate an exponential function and observe its effects on the equation of the parent function.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

A parent exponential function is . Which variable represents the base?

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Open-ended question 2

Describe the graph of an exponential function when the base is between 0 and 1.

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Open-ended question 3

Describe the graph of an exponential function when the base is greater than 1.

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Open-ended question 4

Which variable represents stretch?

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Open-ended question 5

Describe the graph of an exponential function when the stretch is negative.

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