Graphing Polynomials Worksheet

This worksheet focuses on understanding and graphing polynomial functions, including identifying roots, end behavior, and turning points.

Grade 10 Math AlgebraGraphing Polynomials

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSA.CED.A.2

Topics

polynomialsgraphingalgebragrade 10

7 sections · Free to use · Printable

Graphing Polynomials

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Read each question carefully and provide your answers in the space provided. For graphing questions, use the coordinate plane. Show all your work.

1. Which of the following describes the end behavior of the polynomial function f(x) = -2x^3 + 5x - 1?

As x → ∞, f(x) → ∞; as x → -∞, f(x) → -∞

As x → ∞, f(x) → -∞; as x → -∞, f(x) → ∞

As x → ∞, f(x) → ∞; as x → -∞, f(x) → ∞

As x → ∞, f(x) → -∞; as x → -∞, f(x) → -∞

2. What is the maximum number of turning points a polynomial of degree 4 can have?

3. The of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

4. A root with an even multiplicity will the x-axis at that point on the graph.

5. Describe the relationship between the degree of a polynomial and the maximum number of x-intercepts it can have.

6. Graph the polynomial function f(x) = (x - 2)(x + 1)(x + 3). Identify the x-intercepts and y-intercept.

x-intercepts:

y-intercept:

7. A polynomial function of odd degree must have at least one real root.

True

False