BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 8RCC

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

Answer to Problem 8RCC

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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