Precalculus A Fuctional Approach to Graphing and Problem Solving

Section 4.1: Rational Functions

Problems 1-14
First look at Figure 4.1, and then draw the requested graph as a dilation, compression, reflection, or translation. See Example 3.
Problems 15-24
Simplify the given equation by noting the deleted points. Graph the simplified curve (line) using open circles to denote those deleted points. See Example 1.
Problems 25-32
See Table 4.2 and Example 5. There may also be deleted points, as illustrated in Example 1.
Problems 33-42
Begin with synthetic division to simplify each expression. Note deleted points. See Example 4. Also, see Examples 2 and 3.
Problems 43-44
See Example 5.
Problems 45-48
See Example 6.
Problems 49-54
See Examples 4 and 5.
Problems 55-56
See Example 6.
Problems 57-58
Graph the given function in Quadrant I and find the slope, m, and then find m for the minimum value of the function.
Problems 59-60
See Example 7.
Note: Homework Hints are given only for Level 1 and Level 2 problems. Hints are generally not given for IN YOUR OWN WORDS or Journal Problems. You can also check some sources for homework help on the Links page of this web site. Don't be afraid to ask your instructor or classmates for help. You can also send an e-mail to:

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© 2011 Karl J. Smith. All rights reserved.