Home › JEE Advanced › Mathematics › Relations and Functions › The function $f:\mathbb{R}\to\mathbb{R}$ given b…
The function $f:\mathbb{R}\to\mathbb{R}$ given by $f(x) = x^2$ is:
Aone-one and onto
Bone-one but not onto
Conto but not one-one
Dneither one-one nor onto
Answer & Solution
Correct answer: D. neither one-one nor onto
x² gives f(−a)=f(a) (not one-one) and never negative values (not onto on ℝ) — neither.
Related questions
Domain, co-domain and range were first introduced in:If a function f is invertible, then f must be:Applying f first and then g gives the composition written:Mapping students to roll numbers is one-one because:For f(x) = 2x from R to R, the function is:For f(x) = 2x from N to N, the function is:A function is invertible exactly when it is:A function that is both one-one and onto is called: