College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.4 - Linear Functions - 2.4 Exercises - Page 211: 8

Answer

Domain: $(-\infty, +\infty)$ Range: $(-\infty, +\infty)$ Refer to the image below for the graph.

Work Step by Step

$f(x)=-x+4$ The x-intercept can be found by letting f(x)=0. Here, $0=-x+4$ $x=4$ Hence, 4 is the x-intercept, therefore we plot (4,0). The y-intercept can be found by letting x=0. Here, $f(x)=-0+4$ $f(x)=4$ Hence, 4 is the y-intercept, therefore we plot (0, 4). By connecting these two points by a straight line, we get the graph. The domain is $(-\infty, \infty)$ as the function will "work" for all real x-values. (We can see the domain on the graph too. As for every x-value we will find a corresponding point on the graph.) The range is $(-\infty, \infty)$ as we will get all real y-values after substituting all real x-values in the function. (We can see the domain on the graph too. As for every y-value we will find a corresponding point on the graph.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.