Home › Bihar Board Class 12 (Commerce) › Mathematics › Relations and Functions › Why is f: R to R, f(x) = |x| not onto?
Why is f: R to R, f(x) = |x| not onto?
ANo real x has |x| = -1
BIt is undefined at x = 0
CIts domain excludes negatives
DIts range is all of R
Answer & Solution
Correct answer: A. No real x has |x| = -1
The modulus is never negative, so negative codomain values have no preimage.
Related questions
Which two relations on a set A are called the extreme relations?If f(4) = 5 and g(5) = 11, what is gof(4)?A function that is not one-one is described by which term?How are functions related to the general idea of a relation?A relation R is transitive when (a1, a2) and (a2, a3) in R imply what?The empty relation and the universal relation are together known as what?The inverse g of an invertible f : X → Y satisfies which pair of equations?For f : N → Y with f(x) = 4x + 3 onto Y, which formula gives the inverse g(y)?