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Exponential Function

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#Math #exponential function

Evaluate the expression for x = 3:

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Evaluate the expression for x = -2:

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Sketch the graph of the function

Positive/decreasing

Sketch the graph of the function

Positive/increasing

Sketch the graph of the function

positive/increasing

Sketch the graph of the function

positive/decreasing

Name two points on the graph

Answer vary

What does growth mean?

The graph is increasing

What does decay mean?

The graph is decreasing

What is the equation for a word problem when it is a growth graph?

f(t)=a(1+r)^t

What is the equation for a word problem when it is a decay graph?

f(t)=a(1-r)^t

What is the domain and range of the function?

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Which function shows the fastest growth?

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Tell whether the function represents exponential growth or exponential decay.

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Tell whether the function represents exponential growth or exponential decay.

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