CPM Homework Help : PC3 Problem 1-113

Let $g ( x ) = \left\{ \begin{array} { l l } { 3 + x ^ { 2 } } & { \text { if } x < - 2 } \\ { 2 x } & { \text { if } - 2 \leq x < 1 } \\ { 11 - x ^ { 2 } } & { \text { if } \quad x \geq 1 } \end{array} \right.$ . Evaluate:

$g(3)$
Hint (a):
$x=3$ , so in this case, $x\ge1$ . Therefore, use the third piece of the function.
Step (a):
$g(3)=11-3^2$

$g(-1)$
Hint (b):
$x=-1$ , so in this case, $-2\le x\le1$ . Therefore, use the second piece of the function.

$g(-2)$
Hint (c):
$x=-2$ , so in this case, $-2\le x\le1$ . Therefore, use the second piece of the function.

$g(4)$
Hint (d):
See the hint in part (a).