Power Functions and Polynomials

Which equation could be shown here?

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Which equation could be shown here?

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Describe the 1st quadrant behavior of this function.

• increasing and

  concave up

• increasing and

  concave down

• decreasing and

  concave up

• decreasing and

  concave down

List out all POSSIBLE Rational Roots for this equation:

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Use Synthetic Division to see if this divides evenly, and if x - 1

is a factor of the bigger polynomial.

• YES (x - 1) is a factor

  because remainder = 0

• NO (x - 1) is NOT a factor

  because the remainder = 10

• NO (x - 1) is NOT a factor

  because the remainder = - 2

• YES (x - 1) is a factor

  because remainder = - 1

Use synthetic division to divide:

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You do synthetic division as shown to the right.

What are ALL of the zeros of this function?

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What is the end behavior for this function?

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What is the end behavior for this function?

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What is the equation that has zeros at x = 3, x = -3, and x = 0?

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