High School Math : Graphing Exponential Functions

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Graphing Exponential Functions

Find the -intercept(s) of .

Possible Answers:

This function does not cross the -axis.

Correct answer:

Explanation:

To find the -intercept, set  in the equation and solve.

Example Question #36 : Solving And Graphing Exponential Equations

Find the -intercept(s) of .

Possible Answers:

 and 

Correct answer:

Explanation:

To find the -intercept(s) of , set the  value equal to zero and solve.

Example Question #37 : Solving And Graphing Exponential Equations

Find the -intercept(s) of .

Possible Answers:

 and 

 and 

Correct answer:

 and 

Explanation:

To find the -intercept(s) of , we need to set the numerator equal to zero and solve.

First, notice that  can be factored into . Now set that equal to zero: .

Since we have two sets in parentheses, there are two separate  values that can cause our equation to equal zero: one where  and one where .

Solve for each value:

and 

.

Therefore there are two -interecpts:  and .

Example Question #2 : Graphing Exponential Functions

Find the -intercept(s) of .

Possible Answers:

The function does not cross the -axis.

 or 

Correct answer:

Explanation:

To find the -intercept(s) of , we need to set the numerator equal to zero.

That means .

The best way to solve for a funky equation like this is to graph it in your calculator and calculate the roots. The result is .

 

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