1. The graph of a function is given below. Determine the open intervals on which the
function is concave up and concave down.
[Solution]
2. Below is the graph the 2^{nd} derivative of a function. From this graph determine the open intervals
in which the function is concave up
and concave down.
[Solution]
For problems 3 8 answer each of the following.
(a) Determine a list of possible
inflection points for the function.
(b) Determine the open intervals on
which the function is concave up and concave down.
(c) Determine the inflection points of
the function.
For problems 9 14 answer each of the following.
(a) Identify the critical points of the function.
(b) Determine the open intervals on which the function increases
and decreases.
(c) Classify the critical points as relative maximums, relative
minimums or neither.
(d) Determine the open intervals on
which the function is concave up and concave down.
(e) Determine the inflection points of
the function.
(f) Use the information from steps (a) (e)
to sketch the graph of the function.
15. Determine the minimum degree of a polynomial that has
exactly one inflection point. [Solution]
Problem Pane