Podcast
Questions and Answers
What is an exponential function?
What is an exponential function?
y=ab^x
The growth factor is represented by b>1.
The growth factor is represented by b>1.
True
What is the decay factor in exponential functions?
What is the decay factor in exponential functions?
b
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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Description
Test your understanding of exponential functions, including the concepts of growth and decay factors. This quiz will cover the definitions, characteristics, and effects of exponential growth and decay. Perfect for students studying algebra or precalculus.