Question

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

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

(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.

Answer 1

Correct option (d)

Explanation:

Every increasing or decreasing function is one-one