Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-1 Relations and Functions - Practice and Problem-Solving Exercises - Page 66: 30

Answer

Domain: $-3 \leq x \leq 3$ Range: $-1 \leq x \leq 1$ $\text{This relation is not a function.}$

Work Step by Step

We can see from the graph that the domain (the $x$ values) range from $-3$ to $3$. Domain: $-3 \leq x \leq 3$ The range is all the values that $y$ can be. In this exercise, the $y$ values range from $-1$ to $1$. Range: $-1 \leq x \leq 1$ This relation is not a function because it does not pass the Vertical Line Test, which states that each vertical line passing through the graph should pass through only one point on the graph. In this case, if we draw a vertical line (such as $x=2$) through the graph, it would pass through two points.
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