MCQ

MCQ 11 Mark

Which of the following is a sufficient condition for two different functions to be equal ?

A
Domains of both the functions must be same
B
Ranges of both the functions must be same
✓
$(a)$ and $(b)$
D
$(a)$ or $(b)$

Answer

Correct option: C.

$(a)$ and $(b)$

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MCQ 21 Mark

What is the type of function $f: Z-\{0\} \rightarrow N$ and $f(x)=x^2, x \in Z-\{0\} ?$

A
One-one function
✓
Many-one function
C
Constant function
D
None of the given

Answer

Correct option: B.

Many-one function

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MCQ 31 Mark

Which of the following statements is true for one - one function ?

A
Only for two values of the domain, their images should be different.
B
For any two values of the domain, their images are same.
✓
For any two different values of the domain. their images are different.
D
For each value of the domain, their images are same.

Answer

Correct option: C.

For any two different values of the domain. their images are different.

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MCQ 41 Mark

What is the type of function $f: A \rightarrow B$, where each value of domain $A$ has the same image in set $B?$

A
Not a function
B
One-one function
✓
Constant function
D
Many-one function

Answer

Correct option: C.

Constant function

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MCQ 51 Mark

What is the type of function f :$ A \rightarrow B,$ wherein, for two different values of domain their functional values are same ?

A
One-one function
✓
Many-one function
C
One-many function
D
Many-many function

Answer

Correct option: B.

Many-one function

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MCQ 61 Mark

Which of the following statements is true for the relation g: $X \rightarrow Y, X = {- 1, O}; Y= {2, 4}; g(x) = 4 - 2x ?$

A
$g$ is called a function.
✓
$g$ is not a function.
C
$X$ is called function.
D
$Y$ is called function.

Answer

Correct option: B.

$g$ is not a function.

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MCQ 71 Mark

Which of the following statements is true for the range of function $f: A \rightarrow B ?$

✓
$f(A)=\{f(x) \mid x \in A\}$
B
$ \mid t$ is not a codomain or subset of co - domain.
C
Domain itself is the range
D
$f(A)=(f(x) \mid x \in B\}$

Answer

Correct option: A.

$f(A)=\{f(x) \mid x \in A\}$

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MCQ 81 Mark

Which of the following statement is true ?

✓
$f:\{1,2,3,4\} \rightarrow\{3,4,5\}$, the rule 'add $2$ to the elements of domain' is not a function.
B
$f: A \rightarrow B, A=\{-2,-1,0,1,2\} ; B=\{0,1,2,3,4\} ; f(x)=x^2$ is not a function.
C
$g:P \rightarrow Q, P=\{-1,0,1\} ; Q=\left\{-\frac{1}{3^{\prime}}-1,3\right\} ; g(x)=\frac{x+2}{x-2}$
D
then $g$ is called function.

Answer

Correct option: A.

$f:\{1,2,3,4\} \rightarrow\{3,4,5\}$, the rule 'add $2$ to the elements of domain' is not a function.

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MCQ 91 Mark

$A=B=$ set of males, $f( x )=$ son of $x$ is this correspondance $f$ true ?

A
yes
✓
no
C
may be
D
cannot be said

Answer

Correct option: B.

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MCQ 101 Mark

function is f : $A \rightarrow B$. what is the validity of the statement , ‘Domain and co – domain of a function are always equal.’

A
statement is true
B
statement is false
C
statement is partly true
✓
statement is generally trye

Answer

Correct option: D.

statement is generally trye

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