# To explain what an even function is and to tell what symmetry its graph possess and to give example of it.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2, Problem 8RCC

a.

To determine

## To explain what an even function is and to tell what symmetry its graph possess and to give example of it.

Expert Solution

An even function is a function for which f(x)=f(x). an even function is symmetric with respect to y-axis. Example of an even function = f(x)=x2.

### Explanation of Solution

Given:

The term even function is given.

Concept Used:

The concept of even and odd functions is used.

If a function satisfies f(x)=f(x) for every number x in its domain, then f is called an even function. An Example of even function = f(x)=x2. An even function is symmetric with respect to y-axis.

Conclusion:

So, the answer is an even function is a function for which f(x)=f(x). an even function is symmetric with respect to y-axis. Example of an even function = f(x)=x2.

b.

To determine

### To explain what an odd function is and to tell what symmetry its graph possess and to give example of it.

Expert Solution

An odd function is a function for which f(x)=f(x). an odd function is symmetric about origin. Example of an odd function = f(x)=x3.

### Explanation of Solution

Given:

The term odd function is given.

Concept Used:

The concept of even and odd functions is used.

If a function satisfies f(x)=f(x) for every number x in its domain, then f is called an odd function. An Example of odd function = f(x)=x3. an odd function is symmetric about origin.

Conclusion:

So, the answer is an odd function is a function for which f(x)=f(x). an odd function is symmetric about origin. Example of an odd function = f(x)=x3.

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