1. Explain, using the first derivative test, how you can determine if a critical number is a maximum or a minimum. Include a diagram with your explanation. 2. Determine the critical number(s) for the following functions. a. f(x) = 17 - 6x + 12x2 b. f(x) = x3 - 3x + 2 C. f(x) = XVx - 1 C. f( x) = - t t2 + 1 3. Find the intervals of increase and decrease for the following. a. y = 2x2 - 8x + 1 b. y = x2 + 16 - 4. Find the maximum and minimum points for the following. a. f(x) = 3x3 - 2x b. f(x) = (x2 - 9)3