Problem 7
1 point possible (graded, results hidden)
Consider the function $f(x) = 0$ for $-1 \le x \le 1$, and $f(x) = (x + 1)^2$ for $x \le -1$ and $f(x) = (x - 1)^2$ for $x \ge 1$. Then this function is
Smooth and strongly convex
Strongly convex but not smooth
Convex and smooth, but not strongly convex
Convex, but neither smooth nor strongly convex
Non-convex
