Shown below is a graph of the derivative, f '(x). Use the graph to answer
the following questions.
Is f(x) increasing or decreasing at x = 0.5? How do you know?
Is f(x) concave up or concave down at x = 2? How do you know?
Estimate f ''(2).
For values of x from 0 to 3, f(x) has three stationary points. Give the
x-coordinates of each stationary point of f(x) and decide if each is a
local max (hilltop), local min (valley bottom) or neither (chairseat) on
the graph of f(x).
At which values of x does f(x) have points of inflection?
Shown below are three functions A, B and C. One is g(x), one is g'(x) and
one is g''(x). Decide which is which and describe how you know which is
which.
