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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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Question # 2
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 3
cos h
2
x + sin h
2
x
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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 # 4
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Question # 5
The periods of the function f(x) = x[x] is
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1
2
Non periodic
None of these
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Question # 6
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 # 7
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 # 8
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Question # 9
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
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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 # 10
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 11
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Question # 12
If f(x) = x
2
- x then f(-2) is
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4
6
2
0
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Question # 13
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 14
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2
-2
none of these
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Question # 15
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 16
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(1,7/3)
(1, 7/5)
(1, 11/7)
(1, 3/5)
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Question # 17
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 18
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quadratic function
constant function
trigonometric function
linear function
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Question # 19
sec h x = ________
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Question # 20
If f(x) = x
2
-x then f(0) is
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0
1
2
3
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Question # 21
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sin h x
cos h x
tan h x
cot h x
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Question # 22
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2
4
8
12
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Question # 23
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 24
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 25
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 26
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Question # 27
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Question # 28
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
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0
-25
5
45
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Question # 29
Composition of functions is
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Non-commutative (fg ≠ gf)
non-associative [8(fh) ≠(8f)h]
Commutative (fg = gf)
f of-1≠ 1
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Question # 30
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 31
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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