### Home > APCALC > Chapter 11 > Lesson 11.1.1 > Problem11-11

11-11.

Determine all points of intersection for:
$\left\{ \begin{array} { l } { x ( t ) = 2 t } \\ { y ( t ) = t ^ { 2 } } \end{array} \right.$ and $\left\{ \begin{array} { l } { x ( t ) = t ^ { 2 } } \\ { y ( t ) = 2 t } \end{array} \right.$

What do you notice about these sets of equations?

These are inverse functions. Where do the graphs of inverse functions intersect?

Inverse functions intersect where $x = y$.
Therefore, solve $2t = t^2$.

Note: This solves for $t$, not the points of intersection.