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: 15

Answer

x = -6

Work Step by Step

Another word for zeros is the x-intercept. An x-intercept is where the line crosses the x-axis. For this to happen, the y-value must be 0, so to find the zeros of the function, the equation must equal 0. 0 = 3x + 18 Overall, we want to separate the x from all other constants. The first step would be to subtract 18 from each side. 0 - 18 = 3x + 18 - 18 This gets: -18 = 3x We then want to divide each side by 3 to get the x alone. $\frac{-18}{3}$ = $\frac{3x}{3}$ This gets: -6 = x Since x = -6 when y = 0, x = -6 is a zero of the function.
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