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ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
sec h x = ________
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Question # 2
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1/8
1/2
1/4
1/6
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Question # 3
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range of f
domain of f
both (a) and (b)
none of these
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Question # 4
In common logarithm the base is
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1
0
10
e
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Question # 5
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 # 6
If f(x) = x
2
- x then f(-2) is
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4
6
2
0
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Question # 7
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 8
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 9
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0
3
9
-3
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Question # 10
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2
-2
none of these
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Question # 11
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 # 12
The only function which is both even and odd is
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f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 13
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 14
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2
1
5
0
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Question # 15
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Question # 16
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sin h x
cos h x
tan h x
cot h x
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Question # 17
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
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1
5
-5
-1
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Question # 18
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 19
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 # 20
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Question # 21
Sin h
-1
x = _________
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Question # 22
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image
pre-image
constant
none of these
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Question # 23
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 24
f(x) = sin x is:
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an odd function
an even function
an implicit function
an exponential function
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Question # 25
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 26
The area of circle of unit radius =
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0
1
4
π
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Question # 27
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 # 28
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 # 29
The trigonometric function are continuous whenever
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They are defined
their limit exist
Their period is given
All are incorrect
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Question # 30
If x is an image of y under the function f. This can be written as
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y = f(x)
f(x) = 0
x = f(y)
f(y) =0
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Question # 31
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