What are the cut points of a rational function?

What are the cut points of a rational function? Explain how to solve a rational inequality.
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Calculus homework question answer, step 1, image 1
Step 2
Calculus homework question answer, step 2, image 1
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Let $r\left(x\right)=\frac{P\left(x\right)}{Q\left(x\right)}$ is a rational function
The cut point of the function r(x) are the values of the x at which either
$P\left(x\right)=0$ or $Q\left(x\right)=0$
To find the rational inequality use the test points between the successive cut points to find the interval that satisfies the inequality