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\nAlgebra 92 - Rational Functions and Holes\n

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\nIn the previous lecture, we saw examples of x values that cause a rational function's numerator to be zero, where those x values produce x-axis intercepts in the function's graph. We also saw x values that cause denominator zeros that...\nIn the previous lecture, we saw examples of x values that cause a rational function's numerator to be zero, where those x values produce x-axis intercepts in the function's graph. We also saw x values that cause denominator zeros that correspond to vertical asymptotes. Since when a rational function's denominator is zero, the function's value is undefined, those x values must be excluded from the function's domain and therefore correspond to missing points in the function's graph. Although, as we saw, those missing points may be associated with vertical asymptotes, in this lecture we will see how when a numerator and denominator zero are both the same, that x value will not correspond to a vertical asymptote, but will simply cause a missing point or \"hole\" in the function's graph.\n
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Media Length
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26:57
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Grade
12th - Higher Ed
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Subjects
Math
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\nWhy U\n\n
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Date
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2022
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Language
English
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For Teacher Use
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Fine Print: Educational Use
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Concepts

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vertical asymptote, functions, factors, asymptotes, zeros, stem, factoring polynomials, domain
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why u, whyu, professor von schmohawk, math, mathematics, algebra, polynomial, polynomial function, rational function, asymptote, missing point, hole, excluded x value, missing domain value, x intercept, intercept, identical factors in numerator and denominator, numerator zero, denominator zero, identical numerator and denominator zero, identical zeros, axis intercept, identical pairs, linear factors, vertical position, identical factors, completely factor, common factor, factor pairs, negative direction, simplified function, graph passes, functions domain, denominator factors, functions graph, numerator factors, denominator zeros, graph approaches, identical, axis, factor, negative 2
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