Answer
(a) $f(-2)=6$
(b) $f(0)=2$
(c) $f(1)=3$
(d) $f(s^2+2)=2s^4+8s^2+10$
Domain: All real numbers
Range: $[2, \infty)$
Work Step by Step
(a)
$f(-2)=(-2)^2+2$, since $-2\leq 1$
$f(-2)=6$
(b)
$f(0)=(0)^2+2$, since $0\leq1$
$f(0)=2$
(c)
$f(1)=(1)^2+2$, since $1\leq1$
$f(1)=3$
(d)
$f(s^2+2)=2(s^2+2)^2+2$, since $s^2+2>1$
$f(s^2+2)=2(s^4+4s^2+4)+2$
$f(s^2+2)=2s^4+8s^2+10$
Domain: All real numbers
Range: $[2, \infty)$
