Graphing Polynomial Functions

Question 1

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

Revolt · Accepted Answer

–2

Question 2

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

Revolt · Accepted Answer

–7

Question 3

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 4

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

Revolt · Accepted Answer

mc020-1.jpg

Question 5

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

Revolt · Accepted Answer

mc018-4.jpg

Question 6

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

Revolt · Accepted Answer

mc004-4.jpg

Question 7

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-06-09/mc017-2.jpg

Question 8

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 9

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 10

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, ).

Graphing Polynomial Functions Answers

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