Graphing Polynomial Functions Answers

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

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.

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?

The zero has a multiplicity of 1. The zero −2 has a multiplicity of .

If a zero is , then the graph of its function only touches the x–axis at that zero. If a zero is , then the graph of its function crosses 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?

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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The graph touches, but does not cross, the x–axis at x = . The graph of the function crosses the x–axis at x = .

of the zeroes have a multiplicity of 2.