Question

Let a be a given real number such as a> 2. Let the function f: R → R be defined by
f (x) = | x | • (a + x)
a) Find the zeropoint. Are there points where f is not differentiable?
b) Determine where f increases and decrease, and provide any local and global extremal
and its extreme values.
c) Determine where f is convex and concave, and provide any turning points.