Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 324: 137

Answer

Zeros $ \pm\frac{1}{2}, \pm3$. x-intercepts $\pm\frac{1}{2}, \pm3$.

Work Step by Step

1. Zeros $4x^4-37x^2+9=0 \Longrightarrow (4x^2-1)(x^2-9)=0 \Longrightarrow x^2=\frac{1}{4}, 9 \Longrightarrow x=\pm\frac{1}{2}, \pm3$. 2. The x-intercepts are $x=\pm\frac{1}{2}, \pm3$.
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