Graphing Polynomial Functions

Question 1

Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?

Revolt · Accepted Answer

mc004-4.jpg

Question 2

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Revolt · Accepted Answer

f(x) = (x – a)2(x – b)4

Question 3

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Revolt · Accepted Answer

As , and as , .

Question 4

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 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

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

Revolt · Accepted Answer

mc003-1.jpg

Question 7

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

Question 8

Which of the following graphs could be the graph of the function ?

Revolt · Accepted Answer

mc018-4.jpg

Question 9

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 10

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

Revolt · Accepted Answer

As , and as , .

Graphing Polynomial Functions Answers

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