Chapter P - P.3 - Functions and Their Graphs - Exercises - Page 27: 31

(a) $f(-3)=4$ (b) $f(1)=0$ (c) $f(3)=-2$ (d) $f(b^2+1)=-b^2$ Domain: All real numbers Range: $(-\infty,0]∪[1,\infty)$

(a) $f(-3)=|-3|+1$, since $-3<1$ $f(-3)=4$ (b) $f(1)=-(1)+1$, since $1\geq1$ $f(1)=0$ (c) $f(3)=-(3)+1$, since $3\geq1$ $f(3)=-2$ (d) $f(b^2+1)=-(b^2+1)+1$, since $b^2+1\geq1$ $f(b^2+1)=-b^2$ Domain: All real numbers Range: $(-\infty,0]∪[1,\infty)$