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Online Tests
ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
The period of the function f(x) = sin
4
x + cos
4
x is
Choose an answer
π
π
/2
2
π
None of these
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Question # 2
The period sin
2
θ
is
Choose an answer
π
2
π
2
π
π/2
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Question # 3
Choose an answer
0
3
9
-3
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Question # 4
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
Choose an answer
domain
range
function
none of these
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Question # 5
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Question # 6
Choose an answer
0
1
none of these
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Question # 7
f(x) = sin x + cos
2
x is
Choose an answer
trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 8
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
Choose an answer
1
2
3
4
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Question # 9
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Question # 10
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
Choose an answer
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 # 11
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
Choose an answer
0
-25
5
45
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Question # 12
Choose an answer
2
1
5
0
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Question # 13
Sin h
-1
x = _________
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Question # 14
Choose an answer
images
pre-images
constants
none of these
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Question # 15
Choose an answer
0
1
1/2
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Question # 16
If f(x) = x
2
- x then f(2) is
Choose an answer
4
6
2
0
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Question # 17
Choose an answer
0
1
2
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Question # 18
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[0,1[
[0, 1]
]0, 1[
None of these
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Question # 19
If y=f(x) is a function then y is called
Choose an answer
dependent variable
independent variable
constant
none of these
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Question # 20
The domain of y = cos-1 x is
Choose an answer
-∞ < x < ∞
-1≤ x≤ 1
x≤ -1 or x ≥ 1
None of these
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Question # 21
Choose an answer
R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 22
sin h x = ___________
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Question # 23
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 24
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 # 25
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Question # 26
cos h
2
x + sin h
2
x
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 27
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Question # 28
The largest possible domain of the function:
y=√(x ) is:
Choose an answer
(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 29
Choose an answer
Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 30
The periods of the function f(x) = x[x] is
Choose an answer
1
2
Non periodic
None of these
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Question # 31
The trigonometric function are continuous whenever
Choose an answer
They are defined
their limit exist
Their period is given
All are incorrect
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