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Online Tests
ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
f(x) = x
3
is:
Choose an answer
an odd function
an even function
an implicit function
a quadratic funtion
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Question # 2
The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called
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Constant function
Polynomial function
Identity function
Linear function
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Question # 3
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R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 4
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 5
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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Question # 6
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0
-2
1
4
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Question # 7
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Question # 8
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0
1
2
1/2
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Question # 9
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 # 10
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0
1
-1
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Question # 11
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 # 12
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 13
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0
1
none of these
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Question # 14
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 15
Sin h
-1
x = _________
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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
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 # 18
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π
2π
π/2
None of these
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Question # 19
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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Question # 20
f(x) = log x + 3 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 21
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 22
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 23
The period sin
2
θ
is
Choose an answer
π
2
π
2
π
π/2
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Question # 24
If f (x) is defined and continuous then f (x) is always
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Rational function
Trigonometric function
Logarithmic function
All are correct
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Question # 25
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Question # 26
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 # 27
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 # 28
sec h x = ________
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Question # 29
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 30
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
Choose an answer
7+7√2
3+3√2
-7-7√2
-3-3√2
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