Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Relations and Functions

Question:

The function $f(x)=x^3,$ is increasing for :

Options:

Only positive values of x

Only negative values of x

For all real values of x

For only the values of x, such that $-1≤x≤1$

Correct Answer:

For all real values of x

Explanation:

The correct answer is Option (3) → For all real values of x

So $f'(x)=3x^2≥0$ for all $x∈R$

so $f(x)$ is increasing for every $x∈R$