For the graph of f(x) shown below, sketch two functions F
with F'(x) = f(x) . In one let F(0) = 0 ; in the other, let
F(0) = 1 . Mark x_1 , x_2 and x_3 on the x -axis
of your graph. Identify local maxima, minima and inflection points
of F(x) .

**(a)**
At which point does ** A. ** ** B. ** ** C. **

**(b)**
At which point does ** A. ** ** B. ** ** C. **

For the following questions, **consider only the interior points on
the domain** on which

**(c)**
How many critical points does ** A. ** 0** B. ** 1** C. ** 2** D. ** 3** E. ** more than 3

**(d)**
How many local maxima does ** A. ** 0** B. ** 1** C. ** 2** D. ** 3** E. ** more than 3

**(e)**
How many local minima does ** A. ** 0** B. ** 1** C. ** 2** D. ** 3** E. ** more than 3

**(f)**
How many inflection points does ** A. ** 0** B. ** 1** C. ** 2** D. ** 3** E. ** 4

You can earn partial credit on this problem.