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Worksheet for analyzing the graph of a cubic polynomial function with space to plot and describe key features.

A worksheet titled "Analyzing Functions & Graphs" featuring a polynomial function f(x) = -x³ + 15x² - 75x + 125, with a blank coordinate grid for graphing and sections for writing characteristics such as domain, range, end behavior, and zeros.

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ID: #895462

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Show Answer Key & Explanations Step-by-step solution for: Solved Analyzing Functions & Graphs DIRECTIONS: Graph the | Chegg.com

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Parent function: f(x) = -x³
Domain: All real numbers
Range: All real numbers
End behaviors: As x → ∞, f(x) → -∞; as x → -∞, f(x) → ∞
min. pts: (5, 0)
max. pts: (5, 0)
Increasing intervals: None
Decreasing intervals: (-∞, ∞)
Zeros: x = 5
multiplicity effects: The zero at x=5 has multiplicity 3, so the graph crosses the x-axis and flattens out at that point.

Parent Tip: Review the logic above to help your child master the concept of functions and graphs worksheet.

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