Question # 1

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2

1

5

0

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f(x) = x²

f(x²) = x

f(x) = x

none of these

The area of circle of unit radius =

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0

1

4

π

If f(x) = tan x then f(0) is

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0

1

1/2

f(x) = C is

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identity function

constant function

linear function

quadratic function

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

A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

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

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

In common logarithm the base is

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1

0

10

e

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

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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sin h x

cos h x

sec h x

cosec h x

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0

1

-1

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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

The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

If f(x) = x²then f(0) is

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0

1

2

none of these

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

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dependent variable

independent variable

constant

none of these

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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2

-1

8

not defined

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

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Relation

Cartesian product

Function

Graph

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

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

Sin h^-1x = _________

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

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