November 05, 2014
5-1
Increasing and Decreasing
Functions
Example 2
Suppose the following graph is f'(x). Find the open intervals where f(x) is
increasing and/or decreasing.
Example 3
For the function below, find
a) the critical numbers
b) the open intervals where the function is increasing
c) the open intervals where the function is decreasing
Example 1
Find the open intervals where the function graphed below is increasing
and/or decreasing.
Example 2
Suppose the following graph is f'(x). Find the open intervals where f(x) is
increasing and/or decreasing.
Example 3
For the function below, find
a) the critical numbers
b) the open intervals where the function is increasing
c) the open intervals where the function is decreasing
November 05, 2014
Example 3
For the function below, find
a) the critical numbers
b) the open intervals where the function is increasing
c) the open intervals where the function is decreasing
Example 5
A manufacturer sells video games with the following cost and revenue
functions (in dollars) where x is the number of games sold. Determine
the interval(s) on which the profit function is increasing.
Example 4
Suppose the total cost C(x) (in dollars) to manufacture a quantity x of
weed killer (in hundreds of liters), is given by the function
a) Where is C(x) decreasing?
b) Where is C(x) increasing?
Example 6
The function
approximates the blood alcohol concentration in a person't bloodstream
x hours after drinking 8 ounces of a hard liquor. The function only
applies to the interval [0, 6]. On what time interval is the blood alcohol
concentration increasing? Decreasing?