Partial Fraction Decompositions and Their Graphs One more day in Sec. 7.4!!!

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Presentation transcript:

Partial Fraction Decompositions and Their Graphs One more day in Sec. 7.4!!!

Check out the “Do Now”: 1. Use division to rewrite the function:  Remainder!!!

Check out the “Do Now”: 2. Now, find the PFD of the fraction: Substitute x = –2, then x = 2:

Check out the “Do Now”: Let’s compare the graph of the original function with those of the terms of its partial fraction decomposition…

More Practice Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of d(x). Then find the partial fraction decomposition of r(x)/d(x). Compare the graphs of the rational function with the graphs of its terms in the PFD.

Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of d(x). Then find the partial fraction decomposition of r(x)/d(x). Compare the graphs of the rational function with the graphs of its terms in the PFD. How about the graphs???

More Practice Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of d(x). Then find the partial fraction decomposition of r(x)/d(x). Compare the graphs of the rational function with the graphs of its terms in the PFD.

More Practice Use division to write the rational function in the form q(x) + r(x)/d(x), where the degree of r(x) is less than the degree of d(x). Then find the partial fraction decomposition of r(x)/d(x). Compare the graphs of the rational function with the graphs of its terms in the PFD. How about the graphs???