Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $f: R→R$ be defined as $f(x)=5x^2.$ Choose the correct answer :

Options:

f is one-one, onto

f is many to one, onto

f is one-one but not onto

f is neither one-one nor onto

Correct Answer:

f is neither one-one nor onto

Explanation:

The correct answer is Option (4) → f is neither one-one nor onto

$f(x)=5x^2$

(1) Not one one

as at $x = -1, 1$

$f(-1)=5=f(1)$ but $1≠-1$

(2) Not onto

as for $f(x) = -25$

$x^2=-5$ ⇒ no. x exists