The figure above shows the graph of f ', the derivative of a twice-differentiable function f, on the interval
[–3, 4]. Answer the following questions based on the graph of f ′.
a) Find all x-coordinates at which f has critical values and identify them as a relative minimum,
relative maximum, or neither. Justify your answer.
b) On what open intervals contained in [–3, 4] is the graph of f both concave up and decreasing?
Justify your answer.
c) Find the x-coordinates of all points of inflection on the graph of f