Question # 1

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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Does not exist because f is unbounded

Is not attained even though f is bounded

Is equal to 1

Is equal to -1

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

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

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Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

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If f(x) = x²-x then f(0) is

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0

1

2

3

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

The periods of the function f(x) = x[x] is

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1

2

Non periodic

None of these

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0

1

-1

none of these

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2

4

8

12

If f(x) = x²then f(0) is

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0

1

2

none of these

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sin h x

cos h x

tan h x

cot h x

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2

0

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

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0

-4

none of these

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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

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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2

1

5

0

A function from X to Y is written as

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f : X to Y

f : Y to Y

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

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0

-25

5

45

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