Question # 1

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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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2

-1

8

not defined

Which is not included in the domain of cos^-1x

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0

1

-1

2

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

A function from X to Y is written as

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f : X to Y

f : Y to Y

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

if the value of the sphere, v =4/3πr²^, 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

In common logarithm the base is

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1

0

10

e

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

If f(x) = x²then f(2) is

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-2

2

4

-4

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The area of circle of unit radius =

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0

1

4

π

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

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R

(-∞,0]

(-∞,1]

[0,∞)

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

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0

1

-1

If f(x) = x²then f(0) is

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0

1

2

none of these

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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0

-4

none of these

A function from X to X is denoted as

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f : X to Y

f : Y to Y

If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

A function f is said to be an even if f(-x) =

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0

1

f(x)

-f(x)

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

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Relation

Graph of f

Function

All are correct

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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