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: 29

Answer

Domain: $(-\infty, +\infty)$ Tange: $[0, \infty)$ The relation represents a function.

Work Step by Step

The domain is the set of of all $x$ values whereas the range is the set of all $y$ values. We organize the values in ascending order. In this relation, the domain is all real numbers. In this relation, since the graph's minimum value is $0$, then the range is all real numbers greater than or equal to $0$, or $y \geq 0$. This relation is a function because it passes the vertical line test, which states that any vertical line should only pass through at most one point in the graph.
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