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Online Tests
Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
f(x) = sin x + cos
2
x is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 2
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Question # 3
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 4
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 # 5
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0
1
-1
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Question # 6
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 # 7
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 8
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0
1
8
∞
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Question # 9
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0
1
none of these
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Question # 10
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 11
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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Question # 12
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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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
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 # 15
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 # 16
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 17
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 18
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sin h x
cos h x
tan h x
cot h x
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Question # 19
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 20
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Question # 21
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 22
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Question # 23
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0
1
2
1/2
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Question # 24
If f(x) = x + 1 then f(z
2
-1) is
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z
2
z
2
+ 2
z
2
- 2
none of these
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Question # 25
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 # 26
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 27
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sin h x
cos h x
sec h x
cosec h x
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Question # 28
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 # 29
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3/4
r
v
None of these
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Question # 30
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 # 31
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