(02/23) ADV ALG Unit 5B: Polynomial Graphs Key Features

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Which of the following correctly identifies the End Behavior?

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Which of the following correctly identifies the End Behavior?

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f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

What are the decreasing intervals?

• (- ∞, -1.5) & (0, 1.5)

• (-1.5, 0) & (1.5, ∞)

• (- ∞, -1.5) & (-1.5, 0)

• (-1.5, 0) & (0, 1.5)

What are the increasing intervals?

• (- ∞, 0) & (2, ∞ )

• (-1, 0) & (2,4)

• (0,2) & (-3, -7)

• (-8, -3) & (-7, 8)

On the interval of (0, 2) what is happening?

• the graph is decreasing

• the graph is increasing

• the graph remains constant

Check all the even degree polynomials:

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