Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The function $f: Z→Z$ defined by $f(x)=x^2+x$ is, where Z is set of integer :

Options:

one- one

many - one

on e- one and not onto

one - one onto

Correct Answer:

many - one

Explanation:

The correct answer is Option (2) → many - one

$f(x)=x^2+x$

it is not onto as for $f(x)=1$ no x exists

for $x=-1,f(x)=0$

$x=0,f(x)=0$

⇒ it is Many - one