Use the graph below to determine all solutions to the equation f(x) =3 on the interval-0.5 < x< 0.5. y -1.0 -0.8 -0.6 -0.4 -02 0.0 0.2 04 0.6 0.8 1.0 1.2 14 1.6 1.8 2.0 Graph of f = x X = - X = X%3D x = 0

Q: (g) Determine the domain of f.

A: Domain of f   (-inf. , -4) union (-4 , 2]

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.