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ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
In common logarithm the base is
Choose an answer
1
0
10
e
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Question # 2
if the value of the sphere, v =4/3πr
2
,
then the which of the following statement is true?
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r is the function of v
v is the function ofπ
π is independent variable
None of these
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Question # 3
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 4
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Question # 5
If f (x) = 2x+1 then fof (x) = _______;
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4x+3
2x +3
4x +1
None of these
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Question # 6
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 7
sin h x = ___________
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Question # 8
A function from X to X is denoted as
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f : X to Y
f : Y to Y
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Question # 9
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
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domain
range
function
none of these
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Question # 10
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 # 11
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 # 12
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 13
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0
-2
1
4
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Question # 14
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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Question # 15
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0
1
-1
none of these
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Question # 16
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 # 17
If f(x) = -x
3
then f(-2) is
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-2
-4
-8
8
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Question # 18
Choose an answer
π
2π
π/2
None of these
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Question # 19
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 # 20
The largest possible domain of the function:
y=√(x ) is:
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(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 21
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Question # 22
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 23
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Question # 24
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 # 25
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0
1
8
∞
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Question # 26
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3/4
r
v
None of these
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Question # 27
Choose an answer
range of f
domain of f
both (a) and (b)
none of these
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Question # 28
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-1
1
2
-2
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Question # 29
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Question # 30
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Question # 31
Choose an answer
f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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