Rational Functions Section 2.6.

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Presentation transcript:

Rational Functions Section 2.6

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.

Vocabulary rational function vertical asymptote hole horizontal asymptote slant asymptote

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

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

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

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

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

Find the slant asymptote for