Graphing Polynomial Functions — Unit test

Question 1

Which statement describes the graph of this polynomial function?

Revolt · Accepted Answer

The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.

Question 2

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

Revolt · Accepted Answer

mc015-1.jpg

Question 3

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

Revolt · Accepted Answer

f(x) = x2(x – a)2(x – b)4(x – c)

Question 4

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

Revolt · Accepted Answer

The first term in the expansion is positive.

Question 5

If –1 is a root of f(x), which of the following must be true?

Revolt · Accepted Answer

A factor of f(x) is (x + 1).

Graphing Polynomial Functions — Unit test Answers

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