Home › CBSE Class 12 (Commerce) › Mathematics › Relations and Functions › The range of f: R to R, f(x) = 1 + x^2 is
The range of f: R to R, f(x) = 1 + x^2 is
A[1, inf)
B(1, inf)
C(-inf, 1]
D(0, inf)
Answer & Solution
Correct answer: A. [1, inf)
Since x^2 is at least 0, 1 + x^2 is at least 1 and takes every value from 1 upward, so the range is [1, inf).
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)?