Section 2.7. Graphs of Rational Functions Slant/Oblique Asymptote: in order for a function to have a slant asymptote the degree of the numerator must.

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Presentation transcript:

Section 2.7

Graphs of Rational Functions Slant/Oblique Asymptote: in order for a function to have a slant asymptote the degree of the numerator must be exactly one more than the degree of the denominator To find the slant asymptote divide The slant asymptote is the quotient (exclude the remainder)

Graphs of Rational Functions To graph a rational function, you need to find the following: Zeros (x-intercepts) – plug in zero for y (#, 0) y-intercepts – plug in zero for x (0, #)

Graphs of Rational Functions Vertical Asymptotes – set the denominator equal to zero x = # Horizontal Asymptote – compare the degree of the numerator to the degree of the denominator y = #

Graphs of Rational Functions Slant (Oblique) Asymptote – Divide y = quotient (no remainder) Crosses Horizontal Asymptote – set f(x) equal to the horizontal asymptote (#, horizontal asymptote)

Graphs of Rational Functions Undefined Point – factor and cancel out answer is an ordered pair Graph the rational function