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Online Tests
ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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 # 2
If f(x) = x
3
- 2x
2
+ 4x -1 then f(0) is
Choose an answer
0
1
-1
none of these
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Question # 3
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 # 4
tan h x = _________
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Question # 5
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 6
The largest possible domain of the function:
y=√(x ) is:
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(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 7
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 8
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 9
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Question # 10
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Question # 11
The set of points {(x,y)|y = f(x),∀x∈} is called
Choose an answer
Relation
Graph of f
Function
All are correct
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Question # 12
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 # 13
Choose an answer
2
-1
8
not defined
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Question # 14
sec h x = ________
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Question # 15
f(x) = 3x/x
2
+ 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 # 16
Choose an answer
0
3
9
-3
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Question # 17
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 # 18
Choose an answer
1/8
1/2
1/4
1/6
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Question # 19
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 20
The range of function f(x)=-x2+2x-1 is
Choose an answer
R
(-∞,0]
(-∞,1]
[0,∞)
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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
Choose an answer
0
1
-1
none of these
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Question # 23
Choose an answer
2
4
8
12
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Question # 24
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 # 25
Inverse of the function y-10x is
Choose an answer
y=logx
y=lnx
x=10y
x=10y
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Question # 26
If f(x) = -x
3
then f(-2) is
Choose an answer
-2
-4
-8
8
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Question # 27
Choose an answer
1
0
-2
3
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Question # 28
The only function which is both even and odd is
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f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 29
If f(x) = x
2
then f(2) is
Choose an answer
-2
2
4
-4
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Question # 30
Choose an answer
0
-2
1
4
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Question # 31
A function from X to Y is written as
Choose an answer
f : X to Y
f : Y to Y
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