Answer
Relative maximum: $(0,15)$
Relative minimum: $(4,-17)$
Work Step by Step
We are given the function:
$h(x)=x^3-6x^2+15$
Use a graphing utility to graph the function. Then we zoom in to find the relative maxima/minima:
Relative maximum: $(0,15)$
Relative minimum: $(4,-17)$