College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.5 - Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 351: 2

Answer

Domain: all real numbers except for $x=0$. Range: all positive real numbers.

Work Step by Step

As the denominator of a fraction cannot be zero, $x\ne 0$. Apart from $x=0$ all other real numbers are allowed, therefore the domain is all real numbers, except for 0. In $f(x)=1/x^2$ the y-values will always be positive numbers, as both the numerator and the denominator are positive ( $x^2$ is always non-negative), therefore zero is excluded. The range is all positive real numbers.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.