Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.3 - Graphing Linear Functions - Exercise Set: 11


Graph D

Work Step by Step

We are given the graph for $y=f(x)=5x$. We can plug in x=0, to find the y-intercept of the equation. $f(0)=5\times0=0$. Therefore, the y-intercept of $f(x)=5x$ is 0. For $f(x)=5x+1$, the y-intercept is $f(0)=5\times0+1=1$. Graph D, shows that the line crosses the y-axis at (0,1) and is the only graph whose line has a y-intercept of 1. Therefore, the line in Graph D is shifted up 1 unit compared to the original graph.
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