For x >= 0, f (x)= x2 and f (x) = e^x are convex functions and f (x) = x1/2 is a concave function.

These facts are evident from Figure 17.

Transcribed Image Text:

f(x) (x) = x a Convex f(x) Concave f(x) = xin b Convex f(x) f(x) =