### All Precalculus Resources

## Example Questions

### Example Question #11 : Exponential Functions

Choose the description below that matches the equation:

**Possible Answers:**

Exponential growth

Y-intercept at

Exponential growth

Y-intercept at

Exponential growth

Y-intercept at

Exponential decay

Y-intercept at

Exponential decay

Y-intercept at

**Correct answer:**

Exponential growth

Y-intercept at

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 #12 : Exponential Functions

Choose the description that matches the equation below:

**Possible Answers:**

Exponential growth

Exponential decay

Exponential growth

Exponential decay

Exponential decay

Y-intercept

**Correct answer:**

Exponential decay

Y-intercept

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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