Let \(r(x)=\frac{P(x)}{Q(x)}\) is a rational function
The cut point of the function r(x) are the values of the x at which either
\(P(x)=0\) or \(Q(x)=0\)
To find the rational inequality use the test points between the successive cut points to find the interval that satisfies the inequality
Question
What are the cut points of a rational function?
Answers (1)
2021-02-15
Relevant Questions
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One method of graphing rational functions that are reciprocals of polynomial functions is to sketch the polynomial function and then plot the reciprocals of the y-coordinates of key ordered pairs. Use this technique to sketch \(\displaystyle{y}={\frac{{{1}}}{{{f{{\left({x}\right)}}}}}}\) for each function.
\(a)f(x)=2x,\)
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\(\displaystyle{f{{\left({x}\right)}}}=\frac{{{x}^{{2}}-{5}{x}{4}}}{{{x}^{{3}}+{2}}}\)
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\(\displaystyle{g{{\left({x}\right)}}}=\frac{{{x}^{{4}}-{1}}}{{{x}^{{5}}+{3}}}\)
