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(07.03 MC) What is the end behavior of the function f of x equals negative 2 times the cube root of x? As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0. As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

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If you graph the parent function x^3, you get a function that approaches negative infinity as x approaches negative infinity and that approaches positive infinity when x approaches positive infinity. Applying a negative coefficient negative two is going to invert this behavior, so the end behavior for this new function f will be As x → -∞, f(x)→∞, and as x → ∞, f(x) → –∞.

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