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: 59

Answer

Local Maximum: (-3,-27) Local Minimum: N/A Domain: (-∞, ∞) Range: [-27, ∞) See graph below

Work Step by Step

Given: $y = x^4 + 4x^3$ [-5, 5] by [-30, 30] 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: [-5, 5] Under y-axis change the bounds of the y-axis to that stated in the problem: [-30, 30] The gray dots in the graph represent the intercepts of the function and the local minimum and maximum points. Local Maximum: (-3,-27) Local Minimum: N/A Domain: (-∞, ∞) Range: [-27, ∞)
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