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3.4 Notes

3.4 Notes. Graphing Rational Functions. 3.4 Notes. Unlike polynomial functions which are continuous, rational functions have discontinuities. Remember the types of discontinuities? jump – assoc. with piece-wise fxns point infinite. 3.4 Notes. Graphing rational functions:

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3.4 Notes

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  1. 3.4 Notes Graphing Rational Functions

  2. 3.4 Notes Unlike polynomial functions which are continuous, rational functions have discontinuities. Remember the types of discontinuities? jump – assoc. with piece-wise fxns point infinite

  3. 3.4 Notes Graphing rational functions: • Use limits to find the discontinuities and graph them. • Use a t-table to determine the behavior between discontinuities. • Plot the points in the t-table and sketch a smooth curve

  4. 3.4 Notes Point discontinuities are called holes. They will occur when the numerator and denominator of a rational function have a common factor. If is a common factor of the numerator and denominator of f(x), then is a hole.

  5. 3.4 Notes Rational functions may have vertical, horizontal, and/or slant asymptotes. What is the form of the equation of a vertical line? is a vertical asymptote of f(x) if or if from the left or the right.

  6. 3.4 Notes What is the form of the equation of a horizontal line? is a horizontal asymptote of f(x) if or if

  7. 3.4 Notes What is the form of the equation of a slanted line? The oblique line is a slant asymptote of f(x) if or if when f(x) is in quotient form.

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