1. Rational Functions
Section 2.6

2. Objectives
Determine the domain, x-intercepts, and y-intercepts of a rational function.
Determine the vertical asymptotes (if any) of a rational function.
Determine the horizontal asymptotes (if any) of a rational function.
Determine the slant asymptotes (if any) of a rational function.
Find a rational function given the vertical asymptotes, the horizontal asymptote, and x-intercepts.
Solve a word problem involving a rational functions.

3. Vocabulary rational function vertical asymptote hole
horizontal asymptote
slant asymptote

4. Find the domain, x-intercepts, y-intercepts, vertical asymptotes, and horizontal asymptotes for

5. Find the domain, x-intercepts, y-intercepts, vertical asymptotes, and horizontal asymptotes for

6. Find the domain, x-intercepts, y-intercepts, vertical asymptotes, and horizontal asymptotes for

7. Find the rational function that has the following conditions:
the vertical asymptotes are and
the horizontal asymptote is
the x-intercepts are
and

8. In Teaneck, the fruit fly population in millions is modeled by
where t is in months after June 1, 2002.
Estimate the initial population of fruit flies on June 1, 2002.
Estimate the population after many months - for example many years into the future

9. Find the slant asymptote for