Graphing Polynomial Functions

Question 1

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

Revolt · Accepted Answer

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

Question 2

The zeroes of the function are -2 and 00 and 4-2, 0, and 4.

Revolt · Accepted Answer

-2, 0, and 4

Question 3

Let a and b be real numbers, where Which of the following functions could represent the graph on the right?

Revolt · Accepted Answer

f(x) = x (x – a)(x – b)2

Question 4

Did your explanation include the following?

Revolt · Accepted Answer

The degree of the function is odd and the leading coefficient is positive – so the function goes to negative infinity as x goes to negative infinity and to positive infinity as x goes to positive infinity.

Question 5

The graph touches, but does not cross, the x–axis at x = [___].

Revolt · Accepted Answer

Part 1: 4; Part 2: 0; 4

Question 6

The zero −2 has a multiplicity of [___].

Revolt · Accepted Answer

2

Question 7

of odd multiplicityof even multiplicity

Revolt · Accepted Answer

of odd multiplicity

Question 8

NoneOneTwoThreeof the zeroes have a multiplicity of 2.

Revolt · Accepted Answer

One

Question 9

infinity, f(x) goes to infinity.

Revolt · Accepted Answer

positive

Question 10

Question 33

Revolt · Accepted Answer

4; 0

Graphing Polynomial Functions Answers

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