Answer
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 $\left( 1,1 \right)$.