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Question at position 6 The function f(x) = x2 - 6x + 8 is decreasing on(2, 4).(3, ∞).(-∞, 3).(-∞, 2) and (4, ∞).(-3, 3).
Options
A.(2, 4).
B.(3, ∞).
C.(-∞, 3).
D.(-∞, 2) and (4, ∞).
E.(-3, 3).
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Step-by-Step Analysis
We start by identifying the function and where it decreases.
The function is f(x) = x^2 - 6x + 8, a parabola opening upward. Its derivative is f'(x) = 2x - 6, which is negative when x < 3 and positive when x > 3. Therefore, f is decreasing on the interval (-∞, 3) and increasing on (3, ∞).
Option 1: (2, 4). This interval......Login to view full explanationLog in for full answers
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