Graphing Polynomial Functions Answers

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

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

✔ of odd multiplicityof even multiplicity

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

✔ NoneOneTwoThreeof the zeroes have a multiplicity of 2.

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?

Explain how to sketch a graph of the function f(x) = x3 + 2x2 – 8x. Be sure to include end-behavior, zeroes, and intervals where the function is positive and negative.