Question

How would I get the answer and what would be my answer?

Answer 1

Real zeros

Looking at the graph

x=-1 and x=2

Relative local minima

(-1,0) and (2,0)

Relative local maxima

(0.5,5)

Extreme absolute minimum

(-1,0) and (2,0)

Extreme absolute maximum

(-1.5,6)

Interval(s) of increase

(-1,0.5) and (2, infinite)

Interval(s) of decrease

(-infinite,-1) and (0.5,2)