Question # 1

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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

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

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

f(x) = C is

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identity function

constant function

linear function

quadratic function

A function from X to X is denoted as

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f : X to Y

f : Y to Y

If f(x) = x²- x then f(-2) is

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4

6

2

0

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

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dependent variable

independent variable

constant

none of these

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

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

The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

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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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f(x) = x²

f(x²) = x

f(x) = x

none of these

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

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

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dependent variable

independent variable

constant

none of these

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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R

(-∞,0]

(-∞,1]

[0,∞)

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image

pre-image

constant

none of these

If f(x) = x²-x then f(1) is

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0

1

2

3

Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

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

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0

1

-1

2

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

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

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Relation

Cartesian product

Function

Graph

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

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trigonometric function

algebraic function

exponential function

logarithmic function

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2

0

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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

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