Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 194: 28


a) See graph b) $x=-0.5,x=7$

Work Step by Step

We are given the function: $f(x)=2x^2-13x-7$ a) Graph the function. From the graph the zeros are: $x=-0.5,x=7$ b) Determine the zeros algebraically: $f(x)=0$ $2x^2-13x-7=0$ $2x^2-14x+x-7=0$ $2x(x-7)+(x-7)=0$ $(x-7)(2x+1)=0$ $x-7=0$ or $2x+1=0$ $x=7$ or $x=-0.5$
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