Graphing Polynomial Functions Answers

Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?

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

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

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

Which statement describes the graph of f(x) = 4x7 + 40x6 + 100x5?

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

Which statement describes the graph of f(x) = –x4 + 3x3 + 10x2?

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

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?

Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?