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Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
Choose an answer
(1,7/3)
(1, 7/5)
(1, 11/7)
(1, 3/5)
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Question # 2
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Question # 3
An even function is symmetric about the line
Choose an answer
y = x
x = 0
y = -x
y = 0
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Question # 4
The periods of the function f(x) = x[x] is
Choose an answer
1
2
Non periodic
None of these
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Question # 5
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2
-2
none of these
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Question # 6
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 # 7
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 8
f(x) = log x + 3 is a
Choose an answer
trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 9
The domain of y =√(x^2-9) is
Choose an answer
R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 10
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Question # 11
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quadratic function
constant function
trigonometric function
linear function
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Question # 12
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 # 13
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 14
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[0,1[
[0, 1]
]0, 1[
None of these
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Question # 15
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
Choose an answer
0
-25
5
45
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Question # 16
If f(x) = cos x then f(0) is
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0
1
1/2
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Question # 17
If f(x) = -x
3
then f(-2) is
Choose an answer
-2
-4
-8
8
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Question # 18
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 # 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
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 # 21
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 # 22
f(x) = 2x
2
+ 3x + 5 is a
Choose an answer
trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 23
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
Choose an answer
Leibniz
Newton
Euler
None of these
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Question # 24
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 # 25
Which is an explicit function
Choose an answer
y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 26
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Question # 27
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Question # 28
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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 # 29
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 30
Choose an answer
x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 31
Choose an answer
π
2π
π/2
None of these
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