Given the following information about y= f(x), sketch a graph for the function on the axes. Label an appropriate scale for sketch.

Local minimum (6,3).

Local maximum (0,3).

Points of inflection at (2,1) and (8, 1).

Increasing when < 0 and > 6;

decreasing when 0 < < 3 and 3 < < 6.

Concave up when < 2 and 3 < < 8;

concave down when 2 < < 3 and > 8.

HA at = 0.

VA at = 3.

-intercept at (0,3).

-intercepts at (2,0) and (4,0)