EOC Flashcard #3 A2B

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The inverse is: f^{-1}(x) = @@ oot[3]{x + 5}@@.

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What defines an even function?

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A function f(x) is even if f(-x) = f(x) for all x in the domain.

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What defines an odd function?

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A function f(x) is odd if f(-x) = -f(x) for all x in the domain.

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f(2) = 2^3 - 5 = 3.

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f(3) = 3^3 - 5 = 22.

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As x → ∞, y → ∞ and as x → -∞, y → -∞.

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As x → ∞, y → -∞ and as x → -∞, y → ∞.

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How do you determine if a function is even, odd, or neither?

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Check the function's symmetry: Even functions are symmetric about the y-axis, odd functions are symmetric about the origin.

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Front

What is the significance of the horizontal line test?

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A function passes the horizontal line test if every horizontal line intersects the graph at most once, indicating it has an inverse.