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Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
Point (2,0) lies on trigonometric function f(x)=______;
Choose an answer
sinx
cosx
tanx
secx
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Question # 2
Sin h
-1
x = _________
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Question # 3
Choose an answer
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Question # 4
Choose an answer
x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 5
f(x) = 3x/x
2
+ 1 is:
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 6
The domain of the function x/x
2
-4 is given by
Choose an answer
R
R + 2
[R - (
+
2)
R-4
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Question # 7
Domain of cosh x is
Choose an answer
R
R -{0}
[1,∞)
[0,∞)
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Question # 8
Inverse of the function y-10x is
Choose an answer
y=logx
y=lnx
x=10y
x=10y
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Question # 9
Choose an answer
1/8
1/2
1/4
1/6
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Question # 10
If f(x) = x
2
then f(2) is
Choose an answer
-2
2
4
-4
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Question # 11
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 12
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 13
If f(x) = x
2
-x then f(0) is
Choose an answer
0
1
2
3
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Question # 14
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 # 15
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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Question # 16
Choose an answer
R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 17
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 18
Choose an answer
[0,1[
[0, 1]
]0, 1[
None of these
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Question # 19
f(x) = sin x + cos
2
x is
Choose an answer
trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 20
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
Choose an answer
{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 21
If y=f(x) is a function then y is called
Choose an answer
dependent variable
independent variable
constant
none of these
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Question # 22
f(x) = 3x
4
-2x
2
+ 7 is:
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 23
Choose an answer
quadratic function
constant function
trigonometric function
linear function
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Question # 24
If f (x) = 2x+1 then fof (x) = _______;
Choose an answer
4x+3
2x +3
4x +1
None of these
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Question # 25
The area of circle of unit radius =
Choose an answer
0
1
4
π
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Question # 26
Choose an answer
2
1
5
0
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Question # 27
π
is the period of the function
Choose an answer
|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 28
The trigonometric function are continuous whenever
Choose an answer
They are defined
their limit exist
Their period is given
All are incorrect
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Question # 29
Choose an answer
0
-4
none of these
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Question # 30
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
Choose an answer
3a2
2a2
2a
-7a
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