I have a question that gives me the derivative graph of a cubic function.
The graph of is a parabola and is attached below.
Given the graph of , sketch and a possible graph of
Identify the following:
a) The intervals where is increasing and decreasing
b) The local maximum and minimum points of
c) The intervals where is concave up and concave down
I have figured out the intervals where g(x) is increasing and decreasing as:
. . . Right!
I have also attached what I have graphed as and . Correct!
With the given points of the parabola: .
. . we can determine its equation: .
The extreme values occur where
The second derivative is: .
Inflection points: .