1. Find the critical points, absolute maximum and absolute minimum for the function f(x) = 7 + 3x 2 x 3 on the interval [1/2, 3].

2. Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.)

f(x) = 2 + (x + 1)², 2 x < 5

3. Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)h(t) = t^3/4 6t^1/4