The greatest integer function f : R → R given by f(x) =[x] is : |
one-one but not onto onto but one-one one-one and onto neither one-one nor onto |
neither one-one nor onto |
The correct answer is Option (4) → neither one-one nor onto $f:[x]$ $f(x)=[x]$ for $f(x)∈R-Z$ (No x in R exist) ⇒ Not ONTO $f(2,1)=f(2,2)=2$ (Not one-one) |