KOA2U12 Graphing Rational Functions

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What is a hole in a rational function?

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A hole occurs at a value of x where both the numerator and denominator are zero, indicating a removable discontinuity.

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The hole is at x = 3.

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There are no holes.

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What are vertical asymptotes in rational functions?

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Vertical asymptotes occur at values of x that make the denominator zero but not the numerator.

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The vertical asymptotes are at x = 3 and x = -3.

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The vertical asymptote is at x = -2.

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What is the significance of the numerator in a rational function?

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The numerator determines the zeros of the function, which are the x-values where the function equals zero.

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What is the significance of the denominator in a rational function?

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The denominator determines the vertical asymptotes and the domain restrictions of the function.

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How do you find the domain of a rational function?

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Set the denominator equal to zero and solve for x to find the values that are not in the domain.