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Function · Gujarat Board (GSEB) STD 11 Commerce (GSEB - English Medium). 10 questions.

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10 questions · timed · auto-graded

MCQ 21 Mark
$f(x)=x(x-1)^{-1}, x \in Z-\{1\}$, what is the value of $f(-3)$ ?
  • A
    $-\frac{4}{3}$
  • ✓
    $\frac{3}{4}$
  • C
    $-\frac{3}{4}$
  • D
    $\frac{4}{3}$
Answer
Correct option: B.
$\frac{3}{4}$
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MCQ 31 Mark
If $f: A \rightarrow B , A =\{x \mid x$ is the number of days in the month of February of a leap year\}, $f(x)=x$ then find the range of the function.
  • A
    $\{28\}$
  • B
    $\{28,29\}$
  • ✓
    $\{29\}$
  • D
    $\{28,30\}$
Answer
Correct option: C.
$\{29\}$
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MCQ 41 Mark
Identify the type of a function $f: Z \rightarrow N \cup\{0\}$ and $f(x)=10^2$
  • A
    One-one function
  • ✓
    Constant function
  • C
    Many-one function
  • D
    $f(x)$ is not a function
Answer
Correct option: B.
Constant function
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MCQ 61 Mark
For a constant function, which of the following is true ?
  • ✓
    For every element of the domain, images must be same.
  • B
    For only two elements of the domain, images must be different.
  • C
    For only two elements of the domain, images must be same.
  • D
    For any two elements of the domain, images must be different.
Answer
Correct option: A.
For every element of the domain, images must be same.
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MCQ 71 Mark
If $f(x)=x^3-1^0, x \in N , x \leq 3$, state the range.
  • A
    $\{1,7,26\}$
  • ✓
    $\{0,7,26\}$
  • C
    $\{1,8,27\}$
  • D
    $\{0,8,27\}$
Answer
Correct option: B.
$\{0,7,26\}$
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MCQ 81 Mark
What is the type of a function $f$ if $f: A \rightarrow B$ and for any two different elements of domain $A$, corresponding images are different in the codomain ?
  • ✓
    One-one function
  • B
    Even function
  • C
    Many-one function
  • D
    Constant function
Answer
Correct option: A.
One-one function
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MCQ 91 Mark
State the domain of the function, if $f: A \Rightarrow Z, A ={x /-3}$
  • A
    $N$
  • B
    $\{0,1,2\}$
  • C
    $\{-2,-1,0,1,2\}$
  • ✓
    $\{1,2\}$
Answer
Correct option: D.
$\{1,2\}$
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MCQ 101 Mark
If $g: P \rightarrow Q$, what is $Q$ for the function $g?$
  • A
    Domain
  • ✓
    Co-domain
  • C
    Range
  • D
    Function
Answer
Correct option: B.
Co-domain
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