(b)
(c)
(d)
is represented by the shaded triangles in the
figure.because the regions
above and below the x-axis have the same area. Hence F(x) = 0
at x = 3.F is increasing where F ′ = f is positive: −2 ≤ x < 2.
The maximum value of F occurs at x = 2, where F ′ = f changes
from positive to negative.