### All High School Math Resources

## Example Questions

### Example Question #11 : Pre Calculus

This function is:

**Possible Answers:**

symmetric about the x-axis

symmetric about the y-axis

symmetric about the origin

not symmetric

**Correct answer:**

symmetric about the y-axis

Explanation:

A function's symmetry is related to its classification as even, odd, or neither.

**Even functions** obey the following rule:

Because of this, even functions are symmetric about the y-axis.

**Odd functions** obey the following rule:

Because of this, odd functions are symmetric about the origin.

If a function does not obey either rule, it is **neither** odd nor even. (A graph that is symmetric about the x-axis is not a function, because it does not pass the vertical line test.)

To test for symmetry, simply substitute into the original equation.

Thus, this equation is **even** and therefore symmetric about the y-axis.

### All High School Math Resources

Popular Subjects

ISEE Tutors in Houston, GRE Tutors in San Diego, Chemistry Tutors in Seattle, MCAT Tutors in Washington DC, LSAT Tutors in Seattle, SSAT Tutors in Los Angeles, Math Tutors in Houston, GMAT Tutors in Houston, Statistics Tutors in Philadelphia, French Tutors in Miami
Popular Courses & Classes

SSAT Courses & Classes in Philadelphia, SSAT Courses & Classes in San Diego, SAT Courses & Classes in Atlanta, MCAT Courses & Classes in Boston, SAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in San Diego, GMAT Courses & Classes in Atlanta, GMAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Houston
Popular Test Prep

GMAT Test Prep in Miami, GMAT Test Prep in Dallas Fort Worth, GRE Test Prep in Washington DC, MCAT Test Prep in Seattle, GRE Test Prep in Houston, LSAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Miami, ISEE Test Prep in Atlanta, SSAT Test Prep in Los Angeles, SSAT Test Prep in Chicago