Answer
a.
x-intercepts at : x=0, x=4.
y-intercept at: y=0
b.
(2,4) is a local maximum
Work Step by Step
a.
The graph intersects the x-axis at (0,0) and (4,0)
The graph intersects the y-axis at (0,0).
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).
(2,4) is a local maximum,
(surrounding points have smaller function values).
There are no local minimima