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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 4
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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 # 5
In common logarithm the base is
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1
0
10
e
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Question # 6
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1/8
1/2
1/4
1/6
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Question # 7
f(x) = x
3
is:
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an odd function
an even function
an implicit function
a quadratic funtion
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Question # 8
The domain of y = cos-1 x is
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-∞ < x < ∞
-1≤ x≤ 1
x≤ -1 or x ≥ 1
None of these
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Question # 9
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Question # 10
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
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3a2
2a2
2a
-7a
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Question # 11
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 12
f(x) = x3-x/x2+1 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 # 13
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 # 14
If f(x) = x
3
- 2x
2
+ 4x -1 then f(0) is
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0
1
-1
none of these
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Question # 15
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1
0
-2
3
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Question # 16
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images
pre-images
constants
none of these
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Question # 17
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 # 18
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 19
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 20
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 21
If f(x) = x
2
-x then f(1) is
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0
1
2
3
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Question # 22
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Question # 23
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 # 24
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 25
Every relation, which can be represented by a linear equation in two variables, represents a
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Relation
Cartesian product
Function
Graph
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Question # 26
f(x) = 3x/x
2
+ 1 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 # 27
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 28
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 # 29
f(x) = ax + b will be a constant function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 30
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2
-1
8
not defined
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Question # 31
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image
pre-image
constant
none of these
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