The greatest integer function f : R → R given by f(x) = [x], x ∈ R and [x] denotes the greatest integer less than or equal to x is :
Answer & explanation
Correct answer: option 4
f(x) = [x]
e.g for x = 2.1, 2.3
f(2.1) = [2.1]
= 2
f(2.3) = [2.3]
= 2
for R → R
⇒ its not one one
e.g for f(x) = Non integral values
x → doesn't exist (not onto)