Algebra and Trigonometry 10th Edition

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

Chapter 1 - 1.1 - Graphs of Equations - 1.1 Exercises - Page 79: 37

Answer

There is no axis or origin symmetry. y-intercept: $(0,1)$ x-intercept: $(1/3,0)$ Graph:

Work Step by Step

(a) To test for x-axis symmetry, replace $y$ with $-y$ (b) To test for y-axis symmetry, replace $x$ with $-x$ (c) To test for origin symmetry, replace x with $-x$ and y with $-y$ and see if you obtain the same equation. (a) $-y=-3x+1$ ... is not the same equation. (b) $y=-3(-x)+1$ $y=3x+1$ ... is not the same equation. (c) $-y=-3(-x)+1$ $-y=3x+1$ $y=-3x-1 $ ... is not the same equation. There is no axis or origin symmetry. Intercepts: $\left[\begin{array}{ll} \text{y-intercept} & \text{x-intercept}\\ x=0 & y=0\\ y=-0+1 & 0=-3x+1\\ y=1 & 3x=1\\ (0,1) & x=1/3\\ & (1/3,0) \end{array}\right]$ Plot the intercepts and draw a line through them.
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