Answer
Local maximum: $(-0.667,6.481)$
Local minimum: $(2,-3)$
Work Step by Step
We are given the function:
$f(x)=x^3-2x^2-4x+5$ for $-3\lt x \lt 3$
Graph the function:
The function has a local maximum and a local minimum:
Local maximum: $(-0.667,6.481)$
Local minimum: $(2,-3)$