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 infinity, f(x) goes to infinity.

Revolt · Accepted Answer

negative

Question 2

Check all the statement(s) that are true about the polynomial function graphed. Its leading coefficient is positive.Its leading coefficient is negative.It has an odd degree.It has an even degree.It has exactly two real zeroes.It has exactly three real zeroes.None of the zeroes have even multiplicity.None of the zeroes have odd multiplicity.

Revolt · Accepted Answer

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

Question 3

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

Revolt · Accepted Answer

B:

Question 4

The zero [___] has a multiplicity of 1.

Revolt · Accepted Answer

3

Question 5

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

Revolt · Accepted Answer

B: of even multiplicity

Question 6

The zeroes of the function are .

Revolt · Accepted Answer

C: -2, 0, and 4

Question 7

Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?

Revolt · Accepted Answer

B:

Question 8

Let a and b be real numbers, where Which of the following functions could represent the graph on the right? f(x) = x (x – a)(x – b)2f(x) = (x – a)(x – b)2f(x) = x(x – a)³(x – b)f(x) = x2(x – a) 2(x – b)2

Revolt · Accepted Answer

A: f(x) = x (x – a)(x – b)2

Question 9

Question 9

Revolt · Accepted Answer

B

Question 10

A polynomial function has a root of 0 with multiplicity 1, and a root of 2 with multiplicity 4. If the function has a negative leading coefficient, and is of odd degree, which of the following are true?

Revolt · Accepted Answer

A: ; B: ; C:

Graphing Polynomial Functions Answers

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