The largest interval over which f is increasing for f(x) = (x - 2)⁶ is A) [-2, 2] B) [2, $\infty$) C) (-$\infty$ , -2] D) (-$\infty$ , 2] E) [-2, $\infty$)

Name: The largest interval over which f is increasing for f(x) = (x - 2) 6 is A) [-2, 2] B) [2, $\infty$) C) (-$\infty$ , -2] D) (-$\infty$ , 2] E) [-2, $\infty$)
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Question

Quizplus · Accepted Answer

The derivative of f(x) is f'(x) = 6(x - 2)^5. This derivative is positive for x > 2 and negative for x < 2, so f(x) is increasing on the interval [2, ∞).

The Largest Interval Over Which F Is Increasing for F(x) ∞\infty∞

The Largest Interval Over Which F Is Increasing for F(x) $\infty$