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 82E
To determine

To state : whether the function f(x)=x+1x is even, odd or neither.

Expert Solution

Answer to Problem 82E

The function f(x)=x+1x is odd.

Explanation of Solution

Given information :

The function is f(x)=x+1x

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)=x+1xf(x)=(x)+1(x)f(x)=x1xf(x)=(x+1x)f(x)=f(x) 

Therefore, function f(x)=x+1x is odd function.

Hence, The graph of f(x)=x+1x is symmetric about x -axis,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 82E

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!