Graphs of Polynomial Functions — Unit test Answers

Which graph represents an even function?

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Which statement describes the graph of this polynomial function?

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

Which is a factor of f(x) = 60x4 + 86x3 – 46x2 – 43x + 8? Use the Rational Root Theorem to help you find your answer.

On a coordinate plane, a parabola opens up and goes through (negative 2, 0), has vertex at (0, negative 100), and goes through (2, 0).

Which term, when added to the given polynomial, will change the end behavior of the graph? y = 14x8 – 6x5 – 2x4 – 10

On a coordinate plane, a curve goes through (negative 3, 0), has minimum around (negative 1, negative 190), and goes through (0, negative 150) and (2, 0).

The polynomial function f(x) = 3x5 – 2x2 + 7x models the motion of a roller coaster. The roots of the function represent when the roller coaster is at ground level. Which answer choice represents all potential values of when the roller coaster is at ground level? Begin by factoring x to create a constant term.

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

What are all the solutions, both real and nonreal, to 4x3 + 96x = 0?

Find all solutions to the equation x3 – 4x2 + 9x – 10 = 0.

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Which of the following is an odd function?

If g(x) is an odd function, which function must be an even function?