### Home > A2C > Chapter 11 > Lesson 11.3.3 > Problem11-162

11-162.

The graphs of $f\left(x\right) = 2x^{2} + 5x − 3$ and $g\left(x\right) = x^{2} + 4x + 3$ are shown below. Use the graphs to solve:

1. $f\left(x\right) = g\left(x\right)$

Look at the graph. At which points do the two functions intersect?

You can check you answer by setting the two equations equal to each other and solving for the possible values of $x$.

$x = −3 \text{ or } x = 2$

2. $f\left(x\right) \gt g\left(x\right)$

At what points, or sections, are the y-values for $f\left(x\right)$ greater than those for $g\left(x\right)$?