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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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 # 2
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Question # 3
Domain of y = scs x is
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All real numbers except π/2 + n*π
R
All negative integers
None of these
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Question # 4
Sin h
-1
x = _________
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Question # 5
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images
pre-images
constants
none of these
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Question # 6
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0
3
9
-3
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Question # 7
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 8
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 9
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 10
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 # 11
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Question # 12
If f(x) = x
2
then f(-2) is
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-2
2
4
-4
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Question # 13
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0
1
2
1/2
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Question # 14
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Question # 15
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 # 16
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 17
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 18
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0
1
-1
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Question # 19
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 # 20
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Question # 21
tan h x = _________
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Question # 22
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 23
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(1,7/3)
(1, 7/5)
(1, 11/7)
(1, 3/5)
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Question # 24
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Question # 25
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 26
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 # 27
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 # 28
A function f is said to be an even if f(-x) =
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0
1
f(x)
-f(x)
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Question # 29
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x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 30
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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Question # 31
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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