Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If the function f : R→ A given by $f(x)=\frac{x^2}{x^2+2}$ is a surjection, then A is equal to

Options:

$R$

[0, 1]

(0, 1]

[0, 1)

Correct Answer:

[0, 1)

Explanation:

Range of $\frac{x^2}{x^2+2}=A⇒x^2=\frac{2A}{1-A}≥0⇒0≤A<1$