Answer
a.
x-intercepts: $-2$ and $1$
y-intercept: $-1$
b.
($-1,\ -2$) is a local minimum,
($1,\ 0$) is a local maximum.
Work Step by Step
a.
The graph intersects the x-axis at ($-2$,0) and ($1$,0)
(x-intercepts: $-2$ and $1$)
The graph intersects the y-axis at (0,$-1$).
(y-intercept: $-1$)
b.
Local maxima/minima are found when there exists a rectangle
for which there is one point with greatest/least function values (within that rectangle).
($-1,\ -2$) is a local minimum,
(surrounding points have greater function values).
($1,\ 0$) is a local maximum,
(surrounding points have smaller function values).
