8A Day 7 Notes.notebook
October 08, 2013
Packet II
Note: This is the graph of the derivative of f, not the graph of f.
1)
The figure above shows the graph of f ', the derivative of a function f.
The domain of f is the set of all real numbers x such that ­3<x<5.
A)
For what values of x does f have a relative maximum? Why?
B) For what values of x does f have a relative minimum? Why?
C) On what intervals is the graph of f concave upward? Use f' to justify your answer.
D) Suppose f(1) = 0. Sketch the graph of f on 0<x<2.
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8A Day 7 Notes.notebook
2)
October 08, 2013
The graph of the derivative of a function f is shown below. Use the
graph of f ' to answer the following questions about f. [Note: the graph
of f is not shown]
(a) On which intervals is f increasing? Decreasing? Why?
(b) At which values of x does f have a local max? A local min? Why?
(c) On which intervals is f concave up? Concave down? Why?
(d) Which values of x correspond to points of inflection on the graph
of f? Why?
Assignment: #95 finish packet II
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