Question # 1

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0

1

-1

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 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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0

-2

1

4

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[0,1[

[0, 1]

]0, 1[

None of these

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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

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

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 f(x)= x³ then f(-2) is

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-2

-4

-8

8

tan h x = _________

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The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

A function from X to X is denoted as

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f : X to Y

f : Y to Y

if f(x) = x³ -3x² +5x -1, then f(-√2)=

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7+7√2

3+3√2

-7-7√2

-3-3√2

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quadratic function

constant function

trigonometric 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

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

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R

(-∞,0]

(-∞,1]

[0,∞)

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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

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3/7

-2/5

-7/5

-7/3

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1

0

-2

3

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

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2

6

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

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α

c

b

d

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

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f(x) = x²

f(x²) = x

f(x) = x

none of these

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

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1

2

3

4

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