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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
Choose an answer
range of f
domain of f
both (a) and (b)
none of these
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Question # 2
Domain of cosh x is
Choose an answer
R
R -{0}
[1,∞)
[0,∞)
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Question # 3
A function in which the variable appears as exponent is called:
Choose an answer
An identity function
A logarithmic function
an exponential function
A rational function
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Question # 4
A function of the form p(x)/Q(x) is called:
Choose an answer
Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 5
A function from X to X is denoted as
Choose an answer
f : X to Y
f : Y to Y
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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
The domain the function : f(x) = x
2
is given by
Choose an answer
R
Set of all non-negative Real numbers
R
-1
None of these
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Question # 8
Choose an answer
1/8
1/2
1/4
1/6
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Question # 9
Every relation, which can be represented by a linear equation in two variables, represents a
Choose an answer
Relation
Cartesian product
Function
Graph
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Question # 10
The range of function f(x)=-x2+2x-1 is
Choose an answer
R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 11
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
Choose an answer
{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 12
In natural logarithm the base is
Choose an answer
1
0
10
e
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Question # 13
If x is an image of y under the function f. This can be written as
Choose an answer
y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 14
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
Choose an answer
7
-16
16
-9
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Question # 15
f(x) = x is
Choose an answer
trigonometric function
exponential function
quadratic function
identify function
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Question # 16
Choose an answer
sin h x
cos h x
tan h x
cot h x
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Question # 17
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Question # 18
Sin h
-1
x = _________
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Question # 19
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Question # 20
In the function f: A⟶B, the elements of a are called
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Images
Pre-images
ranges
Parameters
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Question # 21
The range of inequality x + 2 > 4 is
Choose an answer
(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 22
f(x) = ax + b will be an identity function if
Choose an answer
a = 1 , b = 1
a = 1 , b = 0
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Question # 23
If f (x) is defined and continuous then f (x) is always
Choose an answer
Rational function
Trigonometric function
Logarithmic function
All are correct
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Question # 24
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Question # 25
f(x) = x3-x/x2+1 is :
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 26
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 # 27
If f(x) = -x
3
then f(-2) is
Choose an answer
-2
-4
-8
8
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Question # 28
Choose an answer
3/4
r
v
None of these
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Question # 29
A function from A to B is denoted by
Choose an answer
f: A→ B
f: B → A
f: → A :B
f → A→ B
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Question # 30
Composition of functions is
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Non-commutative (fg ≠ gf)
non-associative [8(fh) ≠(8f)h]
Commutative (fg = gf)
f of-1≠ 1
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Question # 31
Choose an answer
2
-1
8
not defined
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