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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
Domain of cosh x is
Choose an answer
R
R -{0}
[1,∞)
[0,∞)
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Question # 2
The period of the function f(x) = sin
4
x + cos
4
x is
Choose an answer
π
π
/2
2
π
None of these
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Question # 3
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 4
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0
1
8
∞
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Question # 5
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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Question # 6
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 7
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 # 8
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
Choose an answer
7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 9
Choose an answer
2
4
8
12
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Question # 10
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 # 11
Choose an answer
range of f
domain of f
both (a) and (b)
none of these
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Question # 12
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 13
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 14
A function in which the variable appears as exponent is called:
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An identity function
A logarithmic function
an exponential function
A rational function
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Question # 15
Graph of the question x
2
+ y
2
= 4 is
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A circle
An ellipse
A parabola
A square
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Question # 16
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 17
The domain of the function x/x
2
-4 is given by
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R
R + 2
[R - (
+
2)
R-4
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Question # 18
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1/8
1/2
1/4
1/6
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Question # 19
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Question # 20
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-1
1
2
-2
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Question # 21
f(x) = sin x is:
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an odd function
an even function
an implicit function
an exponential function
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Question # 22
Domain of y = scs x is
Choose an answer
All real numbers except π/2 + n*π
R
All negative integers
None of these
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Question # 23
The area of circle of unit radius =
Choose an answer
0
1
4
π
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Question # 24
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 # 25
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 26
If f(x) = x
2
- x then f(-2) is
Choose an answer
4
6
2
0
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Question # 27
If f(x) = x + 1 then f(z
2
-1) is
Choose an answer
z
2
z
2
+ 2
z
2
- 2
none of these
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Question # 28
cos h
2
x + sin h
2
x
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 29
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Question # 30
tan h x = _________
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