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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
Choose an answer
One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 2
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 3
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 4
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π
2π
π/2
None of these
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Question # 5
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 6
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 # 7
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 8
Choose an answer
sin h x
cos h x
tan h x
cot h x
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Question # 9
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Question # 10
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 11
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 12
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-2
-1
1
2
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Question # 13
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0
1
-1
none of these
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Question # 14
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 15
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 16
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0
1
1/2
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Question # 17
Choose an answer
0
-4
none of these
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Question # 18
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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Question # 19
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 20
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sin h x
cos h x
tan h x
cot h x
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Question # 21
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 # 22
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 23
The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called
Choose an answer
Constant function
Polynomial function
Identity function
Linear function
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Question # 24
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Question # 25
If f(x) = -x
2
then f(-2) is
Choose an answer
-2
2
-4
4
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Question # 26
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 27
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Question # 28
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 29
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 # 30
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 31
tan h x = _________
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