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: 13

Answer

Domain: $(-\infty, +\infty)$ Range: $\left\{-4\right\}$ Refer to the image below for the graph.
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Work Step by Step

$f(x)=-4$ The y-intercept can be found by letting x=0. Here, $f(x)=-4$ Hence, the y-intercept is -4, therefore we plot (0, -4). However, it is a constant function, therefore we have to draw a vertical line. 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 ${-4}$ as we will get only one real y-values after substituting all real x-values in the function. (We can see the domain on the graph too. For only one y-value will we find a corresponding point on the graph.)
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