Question: Draw the graph of f (x) = 1/6x 3 - x 2 + 3x + 3 in the window [-2, 6] by [-10, 20]. It

Draw the graph of f (x) = 1/6x³ - x² + 3x + 3 in the window [-2, 6] by [-10, 20]. It has an inflection point when x = 2, but no relative extreme points. Enlarge the window a few times to convince yourself that there are no relative extreme points anywhere. What does this tell you about f′(x)?

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