Question # 1

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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 of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

tan h x = _________

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

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0

1

1/2

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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[0,1[

[0, 1]

]0, 1[

None of these

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

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α

c

b

d

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

If f(x) = x²then f(0) is

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0

1

2

none of these

If f(x) = x²- x then f(2) is

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4

6

2

0

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

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If f(x) = x²then f(-2) is

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-2

2

4

-4

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

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dependent variable

independent variable

constant

none of these

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f(x) = x²

f(x²) = x

f(x) = x

none of these

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2

1

5

0

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

Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

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

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

If f(x) = x²-x then f(1) is

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0

1

2

3

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

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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sin h x

cos h x

sec h x

cosec h x

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2

0

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