Test: Domain and Range - SAT MCQ

# Test: Domain and Range - SAT MCQ

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## 10 Questions MCQ Test - Test: Domain and Range

Test: Domain and Range for SAT 2024 is part of SAT preparation. The Test: Domain and Range questions and answers have been prepared according to the SAT exam syllabus.The Test: Domain and Range MCQs are made for SAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Domain and Range below.
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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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