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Step Up Preview for JEE 2020: Functions Quiz 3 (App update required to attempt this test)

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Question 1

The number of elements in the range of the function

,defined by

, where [.] is the greatest integer function, is

Question 2

Range of the function $Description: Description: E:\VITJEE\Vitjee-2010-Maths_files\image180.png$ , is

Question 3

Let R be a relation defined by

, where a and b are real numbers, then R is

Question 4

The total number of injections (one-one into mappings) from {a₁,a₂,a₃,a₄} to {b₁,b₂,b₃,b₄,b₅,b₆,b₇} is

Question 5

Which of the following function from A = {x : –1 ≤x ≤ 1} to itself are bijections-

Question 6

The range of f(x)=[sin x+[cos x+[tan x+[sec x]]]] x∈(0,π/4),where [ ]denote the greatest integer function ≤ x is,

Question 7

Let A = {1, 2, 3, 4} and B = {-1, 0, 1, 2} then the number of one-one and onto functions from A to B are

Question 8

Let f: N → Y be a function defined as f(x) = 4x + 3 where Y = {y ∈ N : y = 4x + 3 for some x ∈ N}. Which of the following is the inverse of f?

Question 9

If g:R

R is a mapping such that g(x) = 9x +4, ∀x ∈R, then g^-1(7) is

Question 10

The domain of f(x)=sin^-1 $Description: E:\KCET-1-Feb\KARNATAKA-CET-2011_files\image495.png$ is

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May 21JEE & BITSAT