Graphing Polynomial Functions

Question 1

Complete the statements about the key features of the graph of f(x) = x5 – 9x3.As x goes to negative infinity, f(x) goes to infinity, and as x goes to positive

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Part 1: negative; infinity, f(x) goes to: positive; negative

Question 2

infinity, f(x) goes to infinity.

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positive

Question 3

Choose all of the zeroes of f(x).

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–3 with multiplicity 1; 3 with multiplicity 1; 0 with multiplicity 3

Question 4

The graph of f(x) the x-axis at x = –3, 0, and 3.

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crosses

Question 5

Check all the statement(s) that are true about the polynomial function graphed.

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Its leading coefficient is negative.; It has an odd degree.; It has exactly three real zeroes.; None of the zeroes have even multiplicity.

Question 6

What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-06-09-25-03-task/mc001-2.jpg

Question 7

The graph touches, but does not cross, the x–axis at x = . The graph of the function crosses the x–axis at x = .

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Part 1: 4; Part 2: 0

Question 8

The zero has a multiplicity of 1. The zero −2 has a multiplicity of .

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1; 2

Question 9

If a zero is , then the graph of its function only touches the x–axis at that zero. If a zero is , then the graph of its function crosses the x–axis at that zero.

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of even multiplicity; Selection 1: of even multiplicity; Selection 2: of odd multiplicity

Question 10

✔ of odd multiplicityof even multiplicity

Revolt · Accepted Answer

of odd multiplicity

Graphing Polynomial Functions Answers

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