Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 228: 19


domain: $(-\infty, +\infty)$ range: $\left\{0\right\}$ Refer to the graph below.

Work Step by Step

RECALL: A function whose equation is of the form $f(x) = a$: (1) is a constant function, the graph of which is a horizontal line; (2) all points on the line have a y-coordinate of $a$; and (3) has the set of real numbers as its domain and $a$ as its range. Thus, the graph of the function $f(x)= 0$ is a horizontal line. All the points on the line have a y-coordinate of $0$. Plot the points $(0, 0)$ and $(1, 0)$. (Refer to the graph in the answer part above.) The domain is $(-\infty, +\infty)$ while the range is $\left\{0\right\}$.
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