Finding the Area Bounded by Two Graphs In Exercises 15-30, sketch the region bounded by the graphs of the functions and find the area of the region. See Examples 1, 2, 3, and 4.
To graph: The region bounded by the graphs of
Given Information:
The region bounded by the graphs of
Graph:
Consider the provided functions,
Then the first function
Factor the function,
The x-intercepts are
Consider the second function
It is a quadratic function. The term
The x-intercepts are
Compute the points of intersection of two graphs by setting the functions equal to each other and solving for x,
Apply zero product property,
Substitute
Substitute
So, the graphs of given functions intersect at the points
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