miasia123421 miasia123421
  • 22-03-2020
  • Mathematics
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Odd multiplicities have which of the following effects on the x-axis?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-03-2020

Answer:

The graph cuts the x-axis at odd multiplicities.

Step-by-step explanation:

Let

[tex]p(x) = {(x - a)}^{n} [/tex]

Then x-a has multiplicity n.

This determines whether, the x-intercept x=a cuts the x-axis or just touches it.

If n is even, the graph of p(x) just touches or becomes a tangent to the x-axis.

If n is odd , the graph cuts the x-axis.

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