Precalculus : Graph Exponential Functions

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #1 : Graph Exponential Functions

Choose the description below that matches the equation: 

Possible Answers:

Exponential decay 

Y-intercept at 

Exponential decay 

 

Y-intercept at 

Exponential growth 

Y-intercept at 

Exponential growth 

Y-intercept at 

Exponential growth 

Y-intercept at 

Correct answer:

Exponential growth 

Y-intercept at 

Explanation:

Exponential graphs can either decay or grow. This is based on the value of the base of the exponent. If the base is greater than , the graph will be growth. And, if the base is less than , then the graph will be decay. In this situation, our base is . Since this is greater than , we have a growth graph. Then, to determine the y-intercept we substitute . Thus, we get: 

 for the y-intercept. 

Example Question #2 : Graph Exponential Functions

Choose the description that matches the equation below: 

Possible Answers:

Exponential decay 

Exponential decay 

Exponential growth 

Exponential growth 

Exponential decay 

Y-intercept 

Correct answer:

Exponential decay 

Y-intercept 

Explanation:

Exponential graphs can either decay or grow. This is based on the value of the base of the exponent. If the base is greater than , the graph will be growth. And, if the base is less than , then the graph will be decay. In this situation, our base is . Since this is less than , we have a decay graph. Then, to determine the y-intercept we substitute . Thus, we get: 

 for the y-intercept. 

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