Lesson 5

1. Lesson 5

1.4. Explore 3

Mathematics 30-1 Module 7

Module 7: Rational Functions and Function Operations

 

In Try This 2 you may have found that multiplying and dividing functions using their graphs follows a process similar to that of adding and subtracting functions using their graphs. Again, you can pick a point on each function with the same x-value and multiply or divide the y-values. Dividing Functions shows how to determine the graph of  from Try This 2.

 

This is a play button that opens Dividing Functions.

 

In Try This 2 you also saw that it is possible to predict the type of function produced by a multiplication or division of functions:

  • h(x) is a quadratic polynomial function because it is the product of two linear functions.
  • p(x) is a rational function because it is the quotient of two linear functions.
  • q(x) is a rational function because it is the quotient of two linear functions.

textbook

If you would like to see another example of how functions can be divided, read “Example 2” on pages 491 to 493 of the textbook. Otherwise, try Self-Check 2.

 

 

Self-Check 2


Complete questions 2, 3, 4.a., 5.b., and 9 on page 496 of the textbook. Answer