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ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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Question # 2
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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Question # 3
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0
1
none of these
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Question # 4
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 5
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 6
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 7
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Question # 8
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x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 9
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 10
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 11
In natural logarithm the base is
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1
0
10
e
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Question # 12
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 13
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sin h x
cos h x
tan h x
cot h x
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Question # 14
A function f is said to be an even if f(-x) =
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0
1
f(x)
-f(x)
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Question # 15
The domain the function : f(x) = x
2
is given by
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R
Set of all non-negative Real numbers
R
-1
None of these
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Question # 16
If f(x) = x
2
-x then f(0) is
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0
1
2
3
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Question # 17
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 18
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 19
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Question # 20
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Question # 21
π
is the period of the function
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|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 22
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Question # 23
The periods of the function f(x) = x[x] is
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1
2
Non periodic
None of these
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Question # 24
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2
4
8
12
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Question # 25
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 26
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Question # 27
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 28
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Question # 29
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2
-2
none of these
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Question # 30
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 31
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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