This activity is intended to supplement Algebra I, Chapter 12, Lesson 6.
Problem 1 – Introduction
To view the graphs, press ZOOM and select ZStandard.
1. How do the graphs of the two given equations compare?
2. What do the graphic results tell us about the two functions?
Functions can often be expressed in several different ways. The second representation splits the initial rational function into fractional parts and is referred to as the sum of partial fractions.
Problem 2 – Practice
11. Graph the initial function and your sum of partial fractions using the graphing calculator as outlined in Problem 1. How does this verify your results? Explain your reasoning.
Problem 3 – The Next Level
13. Graph the initial function and your sum of partial fractions using the graphing calculator. How does this verify your results? Explain you reasoning.
Additional Practice Problems
Represent each of the following rational functions as a sum of partial fractions. Verify your results graphically.