Find the global minimum and maximum of the following functions on the interval given. Don't forget to check the endpoints.
1. a(x) = x/1 + x for 0 ≤ x ≤ 1.
2. f(x) = 1 + 2x - 2x2 for 0 ≤ x ≤ 2.
3. c(w) = w3 - 3w for -2 ≤ w ≤ 2.
4. g(y) = y/1 + y2 for 0 ≤ y ≤ 2.
5. h(z) = ez2 for 0 ≤ z ≤ 1.
6. F(x) = |1 - x| for 0 ≤ x ≤ 3. (This function cannot be differentiated at x = 1).