Module 7: Rational Functions and Function Operations

 

In Try This 3 you may have found that   has no solution. The error Tyrone made was that he did not identify the non-permissible values before solving; he also did not check his solution. A check would have determined that x = 3 is an extraneous solution. Kalina thought the graph crossed at x = 3 because the lines became very close at that point; x = 3 is actually an asymptote on the graph. Both f(x) and g(x) will approach the asymptote and each other, but they will never intersect.

 

Self-Check 2



assessment
  1. Complete “Your Turn” from “Example 3” on page 463 of the textbook. Answer
  2. Complete questions 4.c. and 4.d. from page 465 of the textbook. Answer