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Test: Domain and Range - Class 10 MCQ


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10 Questions MCQ Test The Complete SAT Course - Test: Domain and Range

Test: Domain and Range for Class 10 2024 is part of The Complete SAT Course preparation. The Test: Domain and Range questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Domain and Range MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Domain and Range below.
Solutions of Test: Domain and Range questions in English are available as part of our The Complete SAT Course for Class 10 & Test: Domain and Range solutions in Hindi for The Complete SAT Course course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Test: Domain and Range | 10 questions in 15 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study The Complete SAT Course for Class 10 Exam | Download free PDF with solutions
Test: Domain and Range - Question 1

The g -1({0}) for the function g(x)= ⌊x⌋ is ___________

Detailed Solution for Test: Domain and Range - Question 1

g({0}) for the function g(x) is {x | 0 ≤ x ≤ 1}. Put g(x) = y and find the value of x in terms of y such that [x] = y.

Test: Domain and Range - Question 2

The inverse of function f(x) = x3 + 2 is ____________

Detailed Solution for Test: Domain and Range - Question 2

To find the inverse of the function equate f(x) then find the value of x in terms of y such that f -1 (y) = x.

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Test: Domain and Range - Question 3

Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is _________

Detailed Solution for Test: Domain and Range - Question 3

The composition of f and g is given by f(g(x)) which is equal to 2(3x + 4) + 1.

Test: Domain and Range - Question 4

Which of the following function f: Z X Z → Z is not onto?

Detailed Solution for Test: Domain and Range - Question 4

The function is not onto as f(a) ≠ b.

Test: Domain and Range - Question 5

The function f(x) = x + 1 from the set of integers to itself is onto. Is it True or False?

Detailed Solution for Test: Domain and Range - Question 5

For every integer “y” there is an integer “x ” such that f(x) = y.

Test: Domain and Range - Question 6

The function f(x) = x3 is bijection from R to R. Is it True or False?

Detailed Solution for Test: Domain and Range - Question 6

The function f(x) = x3 is one to one as no two values in domain are assigned the same value of the function and it is onto as all R of the co domain is images of elements in the domain.

Test: Domain and Range - Question 7

__________ bytes are required to encode 2000 bits of data.

Detailed Solution for Test: Domain and Range - Question 7

Two bytes are required to encode 2000 (actually with 2 bytes you can encode up to and including 65,535.

Test: Domain and Range - Question 8

The domain of the function that assign to each pair of integers the maximum of these two integers is ______

Detailed Solution for Test: Domain and Range - Question 8

The domain of the integers is ZX Z+.

Test: Domain and Range - Question 9

The value of [1/2.[5/2]] is ______________

Detailed Solution for Test: Domain and Range - Question 9

The value of [5/2] is 2 so, the value of [1/2.2] is 1.

Test: Domain and Range - Question 10

A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.

Detailed Solution for Test: Domain and Range - Question 10

A function is one-to-one if and only if f(a) ≠ f(b) whenever a ≠ b.

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