Let $f: R→R$ be defined by $f(x)=x^2,$ for every $x \in R$. Then f is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → neither one-one nor onto
$f(x)=x^2$
$y=x^2⇒x=\sqrt{y}$
for $x<0$ y don't exist
⇒ Not onto
for $f(1)=1^2=1=(-1)^2=f(-1)$
but $1≠-1$
⇒ Not One one