For problems 1 & 2 the graph of a function is given. Determine the open intervals on which the
function increases and decreases.
3. Below is the graph
of the derivative of a
function. From this graph determine the
open intervals in which the function
increases and decreases.
[Solution]
4. This problem is about some function. All we know about the function is that it
exists everywhere and we also know the information given below about the
derivative of the function. Answer each
of the following questions about this function.
(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.
[Solution]
For problems 5 12 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.