Graphing Polynomial Functions

Question 1

Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?

Revolt · Accepted Answer

–5 with multiplicity 2 and 0 with multiplicity 4

Question 2

Which statement describes the graph of f(x) = –x4 + 3x3 + 10x2?

Revolt · Accepted Answer

The graph touches the x-axis at x = 0 and crosses the x-axis at x = 5 and x = –2.

Question 3

What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

Revolt · Accepted Answer

As , and as , .

Question 4

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Revolt · Accepted Answer

–2

Question 5

At which root does the graph of f(x) = (x + 4)6(x + 7)5 cross the x-axis?

Revolt · Accepted Answer

–7

Question 6

A polynomial function has a root of –5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree, which statement about the graph is true?

Revolt · Accepted Answer

The graph of the function is negative on (3, ).

Question 7

Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?

Revolt · Accepted Answer

mc003-1.jpg

Question 8

Which statement describes the graph of f(x) = 4x7 + 40x6 + 100x5?

Revolt · Accepted Answer

The graph crosses the x-axis at x = 0 and touches the x-axis at x = –5.

Question 9

Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?

Revolt · Accepted Answer

The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.

Question 10

A polynomial function has a root of –4 with multiplicity 4, a root of –1 with multiplicity 3, and a root of 5 with multiplicity 6. If the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?

Revolt · Accepted Answer

mc016-2.jpg

Graphing Polynomial Functions Answers

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