## Precalculus (6th Edition)

Published by Pearson

# Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 228: 18

#### Answer

domain: $(-\infty, +\infty)$ range: $\left\{3\right\}$ 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 $f(x)= 3$ is a horizontal line. All the points on the line have a y-coordinate of $3$. Plot the points $(0, 3)$ and $(1, 3)$. (Refer to the graph in the answer part above.) The domain is $(-\infty, +\infty)$ while the range is $\left\{3\right\}$.

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