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: 62

Answer

Local Maximum: (0, 6) Local Minimum: (1.26, 1.238) Domain: (-∞, ∞) Range: (-∞, ∞) See graph below

Work Step by Step

Given: $y = x^5 - 5x^2 + 6$ [-3, 3] by [-5, 10] for viewing window On desmos, click on the wrench icon in the top right corner Under x-axis, change the bounds of the x-axis to that stated in the problem: [-3, 3] Under y-axis change the bounds of the y-axis to that stated in the problem: [-5, 10] The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points. Local Maximum: (0, 6) Local Minimum: (1.26, 1.238) Domain: (-∞, ∞) Range: (-∞, ∞)
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