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All questions of Functions for Class 10 Exam
__________ bytes are required to encode 2000 bits of data.- a)1
- b)2
- c)3
- d)8
Correct answer is option 'B'. Can you explain this answer?
__________ bytes are required to encode 2000 bits of data.
a)
1
b)
2
c)
3
d)
8
|
Flembe Academy answered |
Two bytes are required to encode 2000 (actually with 2 bytes you can encode up to and including 65,535.
Which of the following is not a function?- a){(1,2), (2,4), (3,6)}
- b){(-1,1), (-2,4), (2,4)}
- c){(1,2), (1,4), (2,5), (3,8)}
- d){(1,1), (2,2), (3,3)}
Correct answer is option 'C'. Can you explain this answer?
Which of the following is not a function?
a)
{(1,2), (2,4), (3,6)}
b)
{(-1,1), (-2,4), (2,4)}
c)
{(1,2), (1,4), (2,5), (3,8)}
d)
{(1,1), (2,2), (3,3)}
|
Aurora Institute answered |
A relation from a set A to a set B is said to be a function if every element of set A has one and one image in set B.
In {(1,2), (1,4), (2,5), (3,8)}, since element 1 has two images 2 and 4 which is not possible in a function so, it is not a function. Rest all have one and only one image so they can be called a function.
In {(1,2), (1,4), (2,5), (3,8)}, since element 1 has two images 2 and 4 which is not possible in a function so, it is not a function. Rest all have one and only one image so they can be called a function.
In a function from set A to set B, every element of set A has___________ image in set B.- a)one and only one
- b)different
- c)same
- d)many
Correct answer is option 'A'. Can you explain this answer?
In a function from set A to set B, every element of set A has___________ image in set B.
a)
one and only one
b)
different
c)
same
d)
many
|
|
Aurora Institute answered |
A relation from a set A to a set B is said to be a function if every element of set A has one and one image in set B.
The value of ⌊1/2.⌊5/2⌋ ⌋ is ______________- a)1
- b)2
- c)3
- d)0.5
Correct answer is option 'A'. Can you explain this answer?
The value of ⌊1/2.⌊5/2⌋ ⌋ is ______________
a)
1
b)
2
c)
3
d)
0.5
|
|
Flembe Academy answered |
The value of ⌊5/2⌋ is 2 so, the value of ⌊1/2.2⌋ is 1.
The g -1({0}) for the function g(x)= ⌊x⌋ is ___________- a){x | 0 ≤ x < 1}
- b){x | 0 < x ≤ 1}
- c){x | 0 < x < 1}
- d){x | 0 ≤ x ≤ 1}
Correct answer is option 'D'. Can you explain this answer?
The g -1({0}) for the function g(x)= ⌊x⌋ is ___________
a)
{x | 0 ≤ x < 1}
b)
{x | 0 < x ≤ 1}
c)
{x | 0 < x < 1}
d)
{x | 0 ≤ x ≤ 1}
|
|
Aurora Institute answered |
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.
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 ____________- a)6x + 9
- b)6x + 7
- c)6x + 6
- d)6x + 8
Correct answer is option 'A'. Can you explain this answer?
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 ____________
a)
6x + 9
b)
6x + 7
c)
6x + 6
d)
6x + 8
|
|
Aurora Institute answered |
The composition of f and g is given by f(g(x)) which is equal to 2(3x + 4) + 1.
The inverse of function f(x) = x3 + 2 is ____________- a)f -1 (y) = (y – 2) 1/2
- b)f -1 (y) = (y – 2) 1/3
- c)f -1 (y) = (y) 1/3
- d)f -1 (y) = (y – 2)
Correct answer is option 'B'. Can you explain this answer?
The inverse of function f(x) = x3 + 2 is ____________
a)
f -1 (y) = (y – 2) 1/2
b)
f -1 (y) = (y – 2) 1/3
c)
f -1 (y) = (y) 1/3
d)
f -1 (y) = (y – 2)
|
|
Flembe Academy answered |
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.
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.- a)One-to-many
- b)One-to-one
- c)Many-to-many
- d)Many-to-one
Correct answer is option 'B'. Can you explain this answer?
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.
a)
One-to-many
b)
One-to-one
c)
Many-to-many
d)
Many-to-one
|
|
Aurora Institute answered |
A function is one-to-one if and only if f(a)≠f(b) whenever a≠b.
Chapter doubts & questions for Functions - Mathematics for GCSE/IGCSE 2025 is part of Class 10 exam preparation. The chapters have been prepared according to the Class 10 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 10 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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