Graphing Polynomial Functions (Algebra 2)
Free printable Algebra 2 algebra worksheet on graphing polynomial functions: end behavior from the degree and leading coefficient, and the multiplicity of each root, with a plotted curve.
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Algebra 2 · Math worksheet
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Algebra 2: Graphing Polynomial Functions
For each polynomial, describe the end behavior from the degree and leading coefficient, and list the x-intercepts with the multiplicity of each root (whether the graph crosses or just touches the axis). Use the plotted graph to check.
- 1.For f(x) = x³ + 2x²: state the end behavior, and the x-intercepts with the multiplicity of each. The graph is shown to check your answer.
f(x) = x³ + 2x² · filled dot = crosses, open dot = touches - 2.For f(x) = x³ - x: state the end behavior, and the x-intercepts with the multiplicity of each. The graph is shown to check your answer.
f(x) = x³ - x · filled dot = crosses, open dot = touches - 3.For f(x) = x⁴ - 4x³ + 4x²: state the end behavior, and the x-intercepts with the multiplicity of each. The graph is shown to check your answer.
f(x) = x⁴ - 4x³ + 4x² · filled dot = crosses, open dot = touches - 4.For f(x) = x⁴ + 7x³ + 18x² + 20x + 8: state the end behavior, and the x-intercepts with the multiplicity of each. The graph is shown to check your answer.
f(x) = x⁴ + 7x³ + 18x² + 20x + 8 · filled dot = crosses, open dot = touches - 5.For f(x) = x⁴ + 4x³ - 16x - 16: state the end behavior, and the x-intercepts with the multiplicity of each. The graph is shown to check your answer.
f(x) = x⁴ + 4x³ - 16x - 16 · filled dot = crosses, open dot = touches - 6.For f(x) = -x³ + 5x² - 8x + 4: state the end behavior, and the x-intercepts with the multiplicity of each. The graph is shown to check your answer.
f(x) = -x³ + 5x² - 8x + 4 · filled dot = crosses, open dot = touches
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