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

Answer

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.