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Online Tests
ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
f(x) = sin x is:
Choose an answer
an odd function
an even function
an implicit function
an exponential function
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Question # 2
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sin h x
cos h x
sec h x
cosec h x
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Question # 3
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Question # 4
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 5
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 # 6
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
Choose an answer
1
5
-5
-1
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Question # 7
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 # 8
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 # 9
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 # 10
Choose an answer
R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 11
If f(x) = x
2
- x then f(2) is
Choose an answer
4
6
2
0
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Question # 12
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
Choose an answer
7
-16
16
-9
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Question # 13
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images
pre-images
constants
none of these
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Question # 14
x = secθ,y = tanθ are the parametric equations of
Choose an answer
Circle
Hyperbola
Ellipse
parabola
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Question # 15
Choose an answer
0
1
none of these
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Question # 16
Choose an answer
2
6
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Question # 17
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 # 18
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 # 19
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2
4
8
12
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Question # 20
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2
-1
8
not defined
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Question # 21
f(x) = x3-x/x2+1 is :
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 22
Choose an answer
0
-2
1
4
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Question # 23
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 24
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0
1
1/2
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Question # 25
Choose an answer
range of f
domain of f
both (a) and (b)
none of these
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Question # 26
if the value of the sphere, v =4/3πr
2
,
then the which of the following statement is true?
Choose an answer
r is the function of v
v is the function ofπ
π is independent variable
None of these
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Question # 27
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Question # 28
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 29
If x is an image of y under the function f. This can be written as
Choose an answer
y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 30
f(x) = 1 is
Choose an answer
identity function
constant function
linear function
quadratic function
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Question # 31
The domain of f(x) = log x is
Choose an answer
[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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