If the function $f(x)=x^2$ is one-to-one and onto, then the domain D and range R of f(x) are respectively:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → D = $[0, \infty)$, R = $[0, \infty)$
$f(x)=x^2$ is one-one
⇒ domain must be [0, ∞)
as negative numbers would nullify one-one property
for $x∈[0, ∞)$
$f(x)∈[0, ∞)$ = Range