Answer
(a) $f(-5)=-7$
(b) $f(-1)=-3$
(c) $f(0)=-2$
(d) $f(3)=2$
Work Step by Step
To evaluate the piecewise-defined function, identify the 'piece' of the function that covers the given value of $x$. Then substitute, the given value of $x$.
(a) $f(-5)$
For $x=-5$ the function is defined by $x-2$.
Thus, $f(-5) = -5-2=-7$
(b) $f(-1)$
For $x=-1$ the function is defined by $x-2$.
Thus, $f(-1) = -1-2=-3$
(c) $f(0)$
For $x=0$ the function is defined by $x-2$.
Thus, $f(0) = 0-2=-2$
(d) $f(3)$
For $x=3$ the function is defined by $5-x$.
Thus, $f(3) = 5-3=2$
