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ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
cos h
2
x + sin h
2
x
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 2
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 3
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 4
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range of f
domain of f
both (a) and (b)
none of these
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Question # 5
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0
1
-1
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Question # 6
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0
1
2
1/2
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Question # 7
Graph of the question x
2
+ y
2
= 4 is
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A circle
An ellipse
A parabola
A square
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Question # 8
Choose an answer
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 # 9
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 # 10
Sin h
-1
x = _________
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Question # 11
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-2
-1
1
2
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Question # 12
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 13
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 # 14
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image
pre-image
constant
none of these
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Question # 15
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 # 16
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 # 17
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Question # 18
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Question # 19
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0
1
2
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Question # 20
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 21
Choose an answer
x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 22
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 23
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 24
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 # 25
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
Choose an answer
trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 26
Choose an answer
0
-4
none of these
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Question # 27
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 # 28
The largest possible domain of the function:
y=√(x ) is:
Choose an answer
(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 29
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Question # 30
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 31
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