Mashaal Masha
Mashaal Masha
 Oct 05, 2022
0

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Choose the correct options for the following questions.
Evaluate $\mathop {\lim }\limits_{x \to 0} \frac{{\sin \left( {6x} \right)}}{x}$
Difficulty: Easy
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A:
0
B:
$\frac{1}{6}$
C:
6
D:
Does not exist
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Vertical asymptotes of the graph $f(x) = \frac{x-2}{x^{2}-4}$
Difficulty: Easy
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A:
$x=2$
B:
$x=-2$
C:
$y=2$
D:
Both A and B
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If $f(x)=2$, then find the value of $f(x+2)$
Difficulty: Easy
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A:
0
B:
2
C:
4
D:
8
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If $x$ is a real number, which of the following function is odd?
Difficulty: Easy
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A:
$- \sin x$
B:
$- \cos x$
C:
$|x|$
D:
$e^{x}-1$
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Determine if the function $\frac{f(x)-f(-x)}{2}$ is even or odd
Difficulty: Easy
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A:
Even
B:
Odd
C:
Either even or odd
D:
All of these
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If domain of a function $f(x)=x^{2}$ is {$1,-1,0,2,-2$}, find its range
Difficulty: Easy
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A:
{$1,0,4$}
B:
{$1,0,-4$}
C:
{$1,1,0,4,4$}
D:
{$1,1,0,-4,-4$}
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Find $f^{-1}(x)$ of $f(x)=x^{3}$
Difficulty: Easy
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A:
$x^{\frac{1}{3}}$
B:
$3^{x}$
C:
$\left(x^{\frac{2}{3}}\right)^{0.5}$
D:
Both A and C
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Domain of the function $\frac{1}{\sqrt{x^{2}+3x+2}}$ is
Difficulty: Easy
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A:
$(-\infty,-2) \cup (-1, \infty)$
B:
$(-2,-1)$
C:
$x \geq -1$
D:
$(-\infty,\infty)$
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If $f(x)=2x+3$ and $g(x)=x^{3}$ then find $gof$
Difficulty: Easy
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A:
$2x^{3}+3$
B:
$(2x+3)^{3}$
C:
$2x^{3}$
D:
None of these
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Evaluate $\mathop {\lim }\limits_{x \to \infty } \left( {\frac{{\ln \left( x \right)}}{x}} \right)$
Difficulty: Easy
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A:
0
B:
1
C:
-1
D:
None of these
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