Math 3 Fall Final Review

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Which function matches the graph? A: f(x) = ∛(x + 3) + 2, B: f(x) = − ∛(x - 3) + 2, C: f(x) = ∛(x - 3) + 2, D: f(x) = ∛(x - 2) + 3

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C: f(x) = ∛(x - 3) + 2

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What is/are the decreasing interval(s) for the function shown? A: (2, 4) and (8, ∞), B: (-∞, 1) and (8, ∞), C: (-∞, 1), (-3, 1) and (8, ∞), D: (-∞, 1), (2, 4) and (8, ∞)

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(-∞, 1), (2, 4) and (8, ∞)

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Definition: Rational Function

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A function that can be expressed as the quotient of two polynomials.

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Definition: Exponent Rules

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Definition: Simplifying Expressions

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The process of reducing an expression to its simplest form.

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Definition: Decreasing Interval

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An interval where the function's output decreases as the input increases.

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Definition: Cube Root Function

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A function of the form f(x) = ∛(x), which returns the cube root of x.