Precalculus : Graph Exponential Functions

Example Questions

Example Question #1 : Graph Exponential Functions

Choose the description below that matches the equation: Exponential growth

Y-intercept at 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 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 #11 : Exponential Functions

Choose the description that matches the equation below: Exponential decay Exponential decay Exponential growth Exponential decay

Y-intercept Exponential growth 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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