Question # 1

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

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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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3/4

r

v

None of these

The area of circle of unit radius =

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0

1

4

π

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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 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

The period sin²θis

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π²

π

2π

π/2

If f(x) = x²then f(0) is

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0

1

2

none of these

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

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2

1

5

0

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

sin h x = ___________

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If f(x) = -x²then f(-2) is

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-2

2

-4

4

A function from X to X is denoted as

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f : X to Y

f : Y to Y

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

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0

1

1/2

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If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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f(x) = x²

f(x²) = x

f(x) = x

none of these

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If f(x) = x²- x then f(2) is

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4

6

2

0

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quadratic function

constant function

linear function

exponential 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

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1

0

-2

3

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

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dependent variable

independent variable

constant

none of these

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

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