Question # 1

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

tan h x = _________

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What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

If f(x) = x²then f(0) is

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0

1

2

none of these

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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The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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2

-1

8

not defined

sec h x = ________

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f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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0

3

9

-3

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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1/8

1/2

1/4

1/6

If f(x) = x²then f(0) is

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0

1

2

none of these

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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0

1

-1

none of these

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2

4

8

12

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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1

0

-2

3

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

If f(x) = x²then f(2) is

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-2

2

4

-4

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0

-2

1

4

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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ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers

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