Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:
Let R be the set of real numbers. f:R->R is defined to be the greatest integer function, i.e. f(x)=[x], then f is
Options:
one one
onto
neither one one nor onto
bijective
Correct Answer:
neither one one nor onto
Explanation:
f is not one one because f(1.5)=f(1.6)=1. f is not onto because it takes only integer values whereas the codomain is the set of real numbers.