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Example 1: Determine which graph matches the function f(x) = 2x³ - 2x² - 8x + 8, with x-intercepts calculated and plotted.

Graphs of a cubic function f(x) = 2x³ - 2x² - 8x + 8, showing x-intercepts at (1,0), (-2,0), and (2,0), with one graph highlighted.

Graphs of a cubic function f(x) = 2x³ - 2x² - 8x + 8, showing x-intercepts at (1,0), (-2,0), and (2,0), with one graph highlighted.

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