A continuous piecewise function, f(x) is defined by the following conditions:  The domain is [-6, 5].

The graph contains the points (-6 , 0) and (5 , 3). 

The graph has an absolute maximum at (-4 , 4) and an absolute minimum at (-2, -2). 

On the interval [-6 , -4], f(x) is a quadratic with a vertex at (-4, 4). 

On the interval [-4 , -1], f(x) is a portion of an absolute value function.

On the interval [-1,5], f(x) is linear.