Answer
(a) See graph, $-2.28$
(b) maximum, $f(-1)=7$, minimum $f(1)=3$,
(c) $(-\infty,-1)U(1,\infty)$
Work Step by Step
(a) See graph for $f(x)=x^3-3x+5$, we can find a zero at $x=-2.28$
(b) We can find a maximum at $\left(-1,7\right)$ with $f(-1)=7$, and a minimum at $\left(1,3\right)$ with $f(1)=3$,
(c) We can determine $f(x)$ is increasing on $(-\infty,-1)U(1,\infty)$
