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Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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 # 2
sec h x = ________
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Question # 3
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0
1
-1
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Question # 4
The domain of y =√(x^2-9) is
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R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 5
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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Question # 6
Point (2,0) lies on trigonometric function f(x)=______;
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sinx
cosx
tanx
secx
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Question # 7
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 # 8
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 # 9
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[0,1[
[0, 1]
]0, 1[
None of these
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Question # 10
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Question # 11
if the value of the sphere, v =4/3πr
2
,
then the which of the following statement is true?
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r is the function of v
v is the function ofπ
π is independent variable
None of these
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Question # 12
The domain of the function x/x
2
-4 is given by
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R
R + 2
[R - (
+
2)
R-4
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Question # 13
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 14
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0
1
-1
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Question # 15
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 # 16
Domain of y = scs x is
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All real numbers except π/2 + n*π
R
All negative integers
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
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0
1
1/2
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Question # 19
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 # 20
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Question # 21
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-2
-1
1
2
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Question # 22
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quadratic function
constant function
linear function
exponential function
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Question # 23
A function from A to B is denoted by
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f: A→ B
f: B → A
f: → A :B
f → A→ B
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Question # 24
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 25
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images
pre-images
constants
none of these
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Question # 26
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 # 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
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Question # 29
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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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
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0
1
2
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