Answer
The function is odd.
Work Step by Step
$f(-x) = (-x)^2 \sin{(-x)}$
$\because \sin{-x} = -\sin{x} \\ \therefore f(-x) = -(x^2) \sin(x) = -f(-x)$
The function is odd.
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 5 - Section 5.2 - Trigonometric Functions of Real Numbers - 5.2 Exercises - Page 418: 71
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
