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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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sin h x
cos h x
tan h x
cot h x
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Question # 2
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Question # 3
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 4
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images
pre-images
constants
none of these
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Question # 5
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Question # 6
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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Question # 7
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 8
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Question # 9
sin h x = ___________
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Question # 10
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Question # 11
Sin h
-1
x = _________
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Question # 12
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0
-2
1
4
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Question # 13
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2
0
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Question # 14
f(x) = x3-x/x2+1 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 # 15
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 16
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 # 17
If f(x) = x + 1 then f(z
2
-1) is
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z
2
z
2
+ 2
z
2
- 2
none of these
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Question # 18
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Question # 19
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 20
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 21
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Question # 22
If f (x) is defined and continuous then f (x) is always
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Rational function
Trigonometric function
Logarithmic function
All are correct
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Question # 23
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2
6
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Question # 24
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2
4
8
12
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Question # 25
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
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0
-25
5
45
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Question # 26
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 27
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 28
f(x) = log x + 3 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 29
The period of the function f(x) = sin
4
x + cos
4
x is
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π
π
/2
2
π
None of these
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Question # 30
The largest possible domain of the function:
y=√(x ) is:
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(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 31
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0
1
-1
none of these
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