Questions

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10 questions · timed · auto-graded

Question 12 Marks
$f: A \rightarrow B , A =\{1,2,3\}, B =\{0,1,2,3,4,5,6,7\}$ and $f(x)=3 x-2$. Obtain the range of the function.
Answer
$R _f=\{1,4,7\}$
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Question 32 Marks
The cost function of producing $x$ units is $C(x)=50+2 x+\sqrt{x}$, find the cost of producing 25 units.
Answer
$C(25)=105$
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Question 42 Marks
If a real function is $f(x)=x+\frac{2}{x+1}, x \in R -\{-1\}$, find the value of $f(1)-f(0)$.
Answer
$f^{\prime}(1)-f(0)=0$
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Question 52 Marks
If a real function is $f(x)=\frac{x^3-27}{x^2+3 x+9}$, for which value of $x$ its image is zero ?
Answer
For $x=3$
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Question 72 Marks
If the range of $g: Z-\{3\} \rightarrow R , g(x)=\frac{x^2-x-6}{x-3}$ is $R _g=\{-2,2\}$, find the domain of the function..
Answer
$D_f=\{-4,0\}$
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Question 82 Marks
State the type of function $p: A \rightarrow N , A =\{1,8,27,64,125\}, p(x)=\sqrt[3]{x}$
Answer
One-one function
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Question 92 Marks
If $f: A \rightarrow Z, A =\{x \mid 0 \leq x \leq 3, x \in N \}$, state the range of $f(x)=x^2-1$.
Answer
$R _j=\{0,3,8\}$
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2 Mark Each - Statistics STD 11 Commerce Questions - Vidyadip