Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry - 1.2 Assess Your Understanding - Page 17: 13


Only $(0, 0)$ is on the graph.

Work Step by Step

Plug in each $x$-coordinate into the given equation and see if the resulting $y$-value matches with the $y$-coordinate of the given point. If it does, then the point is on the graph of the given equation. $x=0$: $0^4-\sqrt{0}=0-0=0$. Thus, $(0, 0)$ is on the graph. $x=1$: $1^4-\sqrt{1}=1-1=0$. Thus, $(1, 1)$ is not on the graph. $x=2$: $2^4-\sqrt{2}=16-1.4=14.6$. Thus, $(2, 4)$ is not on the graph. So out of these points, only $(0, 0)$ is on the graph.
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