Exponential Functions Quiz

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Questions and Answers

What is an exponential function?

y=ab^x

The growth factor is represented by b>1.

True (A)

What is the decay factor in exponential functions?

b

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Study Notes

Exponential Functions

  • An exponential function is defined as ( y = ab^x ), where ( a ) is the initial value, ( b ) is the base (growth or decay factor), and ( x ) is the exponent.

Growth Factor

  • A growth factor occurs when the base ( b ) is greater than 1 (( b > 1 )).
  • The output of the function increases as ( x ) increases.

Decay Factor

  • A decay factor happens when the base ( b ) is between 0 and 1.
  • The output of the function decreases as ( x ) increases.

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