Answer
See below.
Work Step by Step
Step 1. Given $f(x)=-2x^2-3x+8$, we have $f(0)=8\gt0$ and $f(4)=-2(4)^2-3(4)+8=-36\lt0$.
Step 2. Based on the Intermediate Value Theorem, $f(x)$ should have at least one zero on the interval $[0,4]$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 3 - Polynomial and Rational Functions - Chapter Test - Page 270: 10
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