Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 267: 80

Answer

(1) $y=x^4$ (2) $y=x^2$ (3) $y=x^6$ (4) $y=x^3$ (5) $y=x^5$ See graph below.

Work Step by Step

Functions 1,2, and 3 are even degree polynomials, while functions 4 and 5 are odd degree polynomials. Judging from the flatness of the bottoms of these curves, we can identify the degrees of order from low to high as $2,1,3$, so the first three functions can be identified as the following: (1) $y=x^4$ (2) $y=x^2$ (3) $y=x^6$ Judging from the flatness of the curves 4 and 5, we can identify that function 5 is of higher order of degrees, so that: (4) $y=x^3$ (5) $y=x^5$
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