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 2.5, Problem 78E
To determine

To state : whether the function f(x)=x44x2 is even, odd or neither.

Expert Solution

Answer to Problem 78E

The function f(x)=x44x2 is even.

Explanation of Solution

Given information :

The function is f(x)=x44x2

The function f is even if f(x)=f(x) for all x in the domain of f .

The function f is odd if f(x)=f(x) for all x in the domain of f .

  f(x)=x44x2f(x)=(x)44(x)2f(x)=x44x2 f(x)=f(x)

Therefore, the function f(x)=x44x2 is even function.

Hence, the graph of the function f(x)=x44x2 is symmetric about the y -axis.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 78E

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!