Hi!

I can tell the domain from the graph of these functions but how do I tell the range from their graphs?

$\displaystyle h(x) = -\sqrt{x + 2}$ and $\displaystyle f(x) = \sqrt{2 - x} - 1$

I can find the domain easily: $\displaystyle h(x) = x + 2 \ge 0, x \ge -2$

Also, why does the graph of $\displaystyle h(x) = -\sqrt{x + 2}$ flip over thex-axisand the graph of$\displaystyle f(x) = \sqrt{2 - x} - 1$ flip over they-axis?