1. a) Describe the graph of(x)using the terminology: increasing, decreasing, local maximum or local minimum points, intercepts, and the following information

'(x) < 0whenx < 2;

'(x) < 0whenx = 2;

'(x) < 0whenx > 2;

f(0) = 3, f(1) = 0, f(3) = 0.

b) Sketch the graph of(x).

2) The graph of(x) has the following properties:

(x)is increasing whenx < -1orx > 1;

(x)is decreasing on the interval-1 < x < 1;

(x)has a local maximum whenx = -1;

(x)has a local minimum whenx = 1;

(x)is concave down whenx < 0and concave up whenx > 0.

a) Describe and sketch a graph of'(x).

b) Explain why there is more than one possible graph for'(x).