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Online Tests
ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
If f(x) = x
2
then f(2) is
Choose an answer
-2
2
4
-4
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Question # 2
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 # 3
Which is an explicit function
Choose an answer
y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 4
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 # 5
A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from
Choose an answer
X to X
X to Y
Y to X
none of these
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Question # 6
In natural logarithm the base is
Choose an answer
1
0
10
e
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Question # 7
If y=f(x) is a function then x is called
Choose an answer
dependent variable
independent variable
constant
none of these
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Question # 8
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 # 9
The only function which is both even and odd is
Choose an answer
f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 10
The function f(x) =|x| is a/an_______function
Choose an answer
Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 11
Choose an answer
0
3
9
-3
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Question # 12
Choose an answer
0
1
none of these
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Question # 13
The domain of y =√(x^2-9) is
Choose an answer
R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 14
Choose an answer
0
1
-1
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Question # 15
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 # 16
Choose an answer
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Question # 17
Choose an answer
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Question # 18
xy= 2 is:
Choose an answer
a constant function
an identity function
an improper function
implicit function
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Question # 19
Choose an answer
0
1
-1
none of these
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Question # 20
Express the perimeter P of square as a function of its area A?
Choose an answer
P = 4√A
P =√A
P = 2A
P =π√A
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Question # 21
If f(x) = tan x then f(0) is
Choose an answer
0
1
1/2
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Question # 22
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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Question # 23
In common logarithm the base is
Choose an answer
1
0
10
e
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Question # 24
A function F(x) is called even if
Choose an answer
F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 25
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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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
What is range of the function g (x) =|x-3|?
Choose an answer
[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 28
f(x) = x is
Choose an answer
trigonometric function
exponential function
quadratic function
identify function
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Question # 29
Choose an answer
2
1
5
0
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Question # 30
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 # 31
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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