Chapter P - P.3 - Functions and Their Graphs - Exercises - Page 27: 32

(a) $f(-3)=1$ (b) $f(0)=2$ (c) $f(5)=3$ (d) $f(10)=25$ Domain: $[-4,\infty)$ Range: $[0,\infty)$

(a) $f(-3)=\sqrt{(-3)+4}$, since $-3\leq5$ $f(-3)=1$ (b) $f(0)=\sqrt{(0)+4}$, since $0\leq5$ $f(0)=2$ (c) $f(5)=\sqrt{(5)+4}$, since $5\leq5$ $f(5)=3$ (d) $f(10)=(10-5)^2$, since $10>5$ $f(10)=25$ Domain: $[-4,\infty)$ Range: $[0,\infty)$