Graphing Polynomial Functions Answers

Choose all of the zeroes of f(x).–3 with multiplicity 13 with multiplicity 10 with multiplicity 10 with multiplicity 33 with multiplicity 0

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.

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.

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

The zero [___] has a multiplicity of 1.

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

What intervals would you use to determine where the function is positive and negative?

The zeroes of the function are .

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

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

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?

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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

Choose all of the zeroes of f(x).

Check all the statement(s) that are true about the polynomial function graphed.

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

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of odd multiplicity✔ of even multiplicity

The zeroes of the function are -2 and 00 and 4✔ -2, 0, and 4.

What intervals would you use to determine where the function is positive and negative?

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

Let a and b be real numbers, where Which of the following functions could represent the graph on the right?

Did your explanation include the following?

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?

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.

The graph touches, but does not cross, the x–axis at x = [___].

The zero −2 has a multiplicity of [___].

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

of the zeroes have a multiplicity of 2.

infinity, f(x) goes to infinity.

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✔ of odd multiplicityof even multiplicity

✔ NoneOneTwoThreeof the zeroes have a multiplicity of 2.

The graph of the function crosses the x–axis at x = [___].

The graph of f(x) the x-axis at x = –3, 0, and 3.

The graph of f(x) touches but does not cross✔ crossesneither crosses nor touches the x-axis at x = –3, 0, and 3.