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Rational Functions

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.

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Rational Functions

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  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

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