Graphs of Polynomials Worksheet

Explore the graphs of various polynomial functions, identifying key features like roots, turning points, and end behavior for Grade 8 math students.

Grade 8 Math AlgebraGraphs of Polynomials

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSF.IF.C.7.C

Topics

polynomialsgraphsalgebragrade 8

6 sections · Free to use · Printable

Graphs of Polynomials

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which of the following describes the end behavior of the polynomial function f(x) = -x³ + 2x² - 5?

As x → ∞, y → ∞ and as x → -∞, y → -∞

As x → ∞, y → -∞ and as x → -∞, y → ∞

As x → ∞, y → ∞ and as x → -∞, y → ∞

As x → ∞, y → -∞ and as x → -∞, y → -∞

2. How many real roots does the polynomial function shown in the graph below have?

1. The points where a polynomial graph changes direction are called points.

2. A polynomial function with an odd degree and a positive leading coefficient will have end behavior where as x → -∞, y → , and as x → ∞, y → .

1. Sketch a graph of a polynomial function that has real roots at x = -2, x = 0, and x = 3, and discuss its possible degree and leading coefficient.

1. The maximum number of turning points a polynomial of degree 'n' can have is n-1.

True

False