## Precalculus (6th Edition)

Published by Pearson

# Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 297: 24

#### Answer

The given relation represents $y$ as a function of $x$. domain: $(-\infty, +\infty)$ range:$(-\infty, +\infty)$

#### Work Step by Step

RECALL: Vertical Line Test If all vertical lines will pass through the graph of a relation in at most one point only, then the relation defines $y$ as a function of $x$. To know if the given graph represents $y$ as a function of $x$, perform the vertical line test. Note that all vertical lines will pass through the given graph at one only point . This means that the graph pass the vertical line test. Thus, the given relation represents $y$ as a function of $x$. The graph covers all x-values so the domain is $(-\infty, +\infty)$. The graph covers all y-values so the range is $(-\infty, +\infty)$.

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