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Algebra 2 · Chapter 3 · Lesson 3.1 · Printable PDF

Degree, End Behavior and the Shape of a Polynomial Graph Worksheet with Answer Key

6 problems on degree, end behavior and the shape of polynomial graphs: leading terms and arrow notation, degree and intercepts of a factored polynomial, which descriptions are possible, intersections of two graphs, matching graphs, and reading degree from a graph. 3 pages, with a worked answer key.

6 problems3 pagesanswer key
Printable Degree, end behavior and the shape of a polynomial graph worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Give the leading term of each polynomial and its end behavior in arrow notation.
    p(x) = 7 + 2x^2 - 6x^3p(x) = x^3(4 - x)^2 - x^5p(x) = (2x + 1)^3 - 8x^3p(x) = 9 - x^4 + \dfrac{1}{2}x^5
  2. Find the degree, leading term, end behavior and y-intercept of a factored polynomial.
  3. Decide whether a polynomial with each description exists, and write one if it does.
  4. Find how many points two polynomial graphs can have in common.
  5. Match each graph A to D to its polynomial using end behavior and turning points.
  6. For each degree, decide from the graph whether the polynomial could be that degree.

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The free lesson teaches it with worked examples and practice problems.

Degree, end behavior and the shape of a polynomial graph: the lesson ›

More Chapter 3 worksheets: Polynomial functions