Answer
$y \leq x^2 + 2$
Work Step by Step
The question asks to determine the inequality.
Here are some criteria for graphing inequalities:
1. If it is $\lt$ or $\gt$, then the graph must be dashed.
2. If it is $\leq$ or $ \geq$, then the graph must be solid.
3. If it is $\lt$ or $\leq$ (with y being isolated), then the shading is below, left, or inside the graph.
4. If it is $\gt$ or $\geq$ (with y being isolated), then the shading is above, right, or outside the graph.
Given $y = x^2 + 2$
In the book, it shows that the shading is below the function.
Furthermore, the graph is solid and not dashed.
Thus the inequality will utilize a $\leq$
Answer: $y \leq x^2 + 2$
