Graphing Polynomials

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Objective

I can graph polynomial functions by identifying key features such as roots, intercepts, and end behavior.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

2 questions

1

Analyze the end behavior of the polynomial function y = -2x⁴ + 3x² - x + 1. Is the graph increasing or decreasing? Explain your reasoning.

2

Describe how the graph of a polynomial function will behave near a zero with a multiplicity of 1, and near a zero with a multiplicity of 2.

Part 3 of 3

Exit ticket

Quick comprehension check

Identify the roots, intercepts, and end behavior of the polynomial function y = (x + 1)(x - 2)(x - 3). Sketch the graph. Identify the roots, intercepts, and end behavior of the polynomial function y = -x(x + 2)(x - 1). Sketch the graph.

Sample answer included in the free materials

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