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4.4 Rational Functions

# 4.4 Rational Functions - Rational Functions Section 4.4...

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Rational Functions Section 4.4

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Domain of Rational Functions The domain of a artional function is the set of all real numbers that are not zeros of its denominator.
Intercepts of Rational Functions If f has a y -intercept, it occurs at f(0). The x- intercepts of the graph of a rational function occur at the numbers that are zeros of the numerator are not zeros of the denominator

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The Big-Little Concept If c is a number far from 0, then is a number close to 0. If c is close to 0, then is far from 0. 1 c 1 c 1 little big = 1 big little =
Vertical Asymptotes A rational function has a vertical asymptote at x = c , provided c is a zero for the denominator c is not a zero of the numerator

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Holes Let be a rational function and let d denote a zero of both g and h. If the multiplicity of d as a zero of g is greater than or equal to its multiplicity as a zero of h , then the graph of f has a hole at x = d .
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4.4 Rational Functions - Rational Functions Section 4.4...

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