1. The graph of x 2 + y 2 6x 8y 11 = 0 is a circle with center ( , ) and radius . (6pts)

2. If a graph is symmetric with respect to the origin and (x, y) is on the graph, then ( , ) is also on the graph. (3pts) The graph of y = x is symmetric with respect to the . (3pts)

3. The average rate of change of f(x) = x 2 16 on [1, 3] is-. On this interval y = x 2 16 is increasing/decreasing (circle one). (8pts)

4. The graph of y = f(x + 2) is obtained from the graph of - by the graph of horizontally units -. (6pts)

5. Given the quadratic function f(x) = 2x 2 + 8x + 12. a) f(x) has a local M- because(6pts) b) The local M of f(x) is: - (6pts) c) The vertex of f(x) is - (3pts) d) f(x) is increasing on the interval -(3pts) e) f(x) is decreasing on the interval -(3pts)

6. Let f(x) = x 2 and g(x) = x. a) (f g)(x) = - (3pts) b) (f g)(x) has domain:- (3pts)

7.(12pts) If 5x 3 55 = 35, then 5x 3 5= -. So x 3 5 = -. (x ) = . Let u = -. So u = -. u =- and u= = . Now x( )= . So x=- x =-, hence x = -.