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How To Graph A Rational Function
How To Graph A Rational Function -
How To Given a rational function sketch a graph Evaluate the function at 0 to find the y intercept Factor the numerator and denominator For factors in the numerator not common to the denominator determine where each factor of the numerator is zero to find the latex x latex intercepts
To find oblique asymptotes the rational function must have the numerator s degree be one more than the denominator s which it is not So there are no oblique asymptotes Summing this up the asymptotes are y 0 and x 0 To confirm this try graphing the function y 1 x and zooming out very very far
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Solving A Rational Function And Graphing It Rational Function
Solving A Rational Function And Graphing It Rational Function
Here are the steps for graphing a rational function Identify and draw the vertical asymptote using a dotted line Identify and draw the horizontal asymptote using a dotted line Plot the holes if any Find x intercept by using y
Process for Graphing a Rational Function Find the intercepts if there are any Remember that the y y intercept is given by 0 f 0 0 f 0 and we find the x x intercepts by setting the numerator equal to zero and solving Find the vertical asymptotes by setting the denominator equal to zero and solving
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How To Graph A Rational Function With Holes Precalculus Study
How To Graph A Rational Function With Holes Precalculus Study
Graphing rational functions according to asymptotes Opens a modal Graphs of rational functions y intercept Opens a modal Graphs of rational functions horizontal asymptote Opens a modal Graphs of rational functions vertical asymptotes Opens a modal Graphs of rational functions zeros
I am assuming here that you are talking about oblique asymptotes of rational functions and not the oblique asymptotes of hyperbolas which are not functions The rules for determining that you have an oblique asymptote are complicated and then there are some steps for finding the x intercept
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To find oblique asymptotes the rational function must have the numerator s degree be one more than the denominator s which it is not So there are no oblique asymptotes Summing this up the asymptotes are y 0 and x 0 To confirm this try graphing the function y 1 x and zooming out very very far
https://math.libretexts.org/Bookshelves/Algebra...
Drawing the Graph of a Rational Function In this section we will use the zeros and asymptotes of the rational function to help draw the graph of a rational function We will also investigate the end behavior of rational functions Let s begin with an example
To find oblique asymptotes the rational function must have the numerator s degree be one more than the denominator s which it is not So there are no oblique asymptotes Summing this up the asymptotes are y 0 and x 0 To confirm this try graphing the function y 1 x and zooming out very very far
Drawing the Graph of a Rational Function In this section we will use the zeros and asymptotes of the rational function to help draw the graph of a rational function We will also investigate the end behavior of rational functions Let s begin with an example
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