Checkpoint 4 Worked-out solution available at LarsonAppliedCalculus.com
Find the area of the region bounded by the graphs of
Sketch a graph of the region.
To calculate: The area of the region bounded by the graphs of
Given Information:
The two functions
Formula used:
The area of a region bounded by two graphs is calculated using the following formula,
If f and g are continuous on
The power rule is
Calculation:
Consider the provided functions,
And,
Compute the points of intersection of two graphs by setting the functions equal to each other and solving for x,
Factor the above polynomial,
That is,
And,
Substitute
Substitute
Substitute
So, the graphs of f and g intersect at the points
Sketch the graph of two functions as follows:
From the graph,
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