A function is matched below against an interval where it is supposed to be increasing

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?
IntervalFunction
(a) [−∞,13]\left[-\infty, \frac{1}{3}\right]3x2−2x+13x^2 - 2x + 1
(b) (−∞,−4](-\infty, -4]x3+6x2+6x^3 + 6x^2 + 6
(c) (−∞,∞)(-\infty, \infty)x3−3x2+3x+3x^3 - 3x^2 + 3x + 3
(d) [2,∞)[2, \infty)2x3−3x2−12x+62x^3 - 3x^2 - 12x + 6
(a) Interval [−∞,13]\left[-\infty, \frac{1}{3}\right], Function 3x2−2x+13x^2 - 2x + 1 (b) Interval (−∞,−4](-\infty, -4], Function x3+6x2+6x^3 + 6x^2 + 6 (c) Interval (−∞,∞)(-\infty, \infty), Function x3−3x2+3x+3x^3 - 3x^2 + 3x + 3 (d) Interval [2,∞)[2, \infty), Function 2x3−3x2−12x+62x^3 - 3x^2 - 12x + 6

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