Concept explainers
To explain how the factor can be used to determine the vertical asymptote or point discontinuity of a rational function
Answer to Problem 46HP
The vertical asymptote or point discontinuity of a rational function is explained by the use of factor.
Explanation of Solution
Given information:
An algebraic function who’s both the numerator and denominator are polynomials is termed as rational function. The vertical asymptote of a rational function is found when the denominator is kept equal to zero and the point discontinuity is found when the common factor is eliminated from both numerator and denominator.
So whenever any rational function is given then factor its numerator and denominator completely. If there is a factor that cancels, then the
Therefore, the vertical asymptote or point discontinuity of a rational function is explained by the use of factor.
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