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in Mathematics by (64.1k points)

Statement-1: f : R  R be a function such that f (x) = x3 + x2 + 3x + sin x. Then f is one-one.

Statement-2: f (x) is neither increasing nor decreasing.

(a)  Statement-1 is false, Statement-2 is true. 

(b)  Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

(c)  Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

(d)  Statement-1 is true, Statement-2 is false.

1 Answer

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Best answer

Correct option  (d) Statement-1 is true, Statement-2 is false.

Explanation:

Every increasing or decreasing function is one-one f' (x) = 3x2 + 2x + 3 + cosx

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