# Chapter 1 - Section 1.1 - Graphs and Graphing Utilities - Exercise Set - Page 159: 39

The graphs of ${{Y}_{1}}$ and ${{Y}_{2}}$ will intersect at the point $(-2,4)$ and $\left( 1,1 \right)$.

#### Work Step by Step

We know that any two graphs will intersect at a point if the values y1 and y2 will be the same. So, it can be observed that the graphs of ${{Y}_{1}}$ and ${{Y}_{2}}$ intersect at point where they are equal for some value. Now, by checking the values of both ${{Y}_{1}}$ and ${{Y}_{2}}$, from the given table, we can observed that the values are equal for $x=-2$ and $x=1$. Therefore, both graphs intersect at $(-2,4)$ and $\left( 1,1 \right)$.

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.