Question # 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

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

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 -3x² +5x -1, then f(-√2)=

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7+7√2

3+3√2

-7-7√2

-3-3√2

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

If f(x) = x²then f(0) is

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0

1

2

none of these

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2

1

5

0

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

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11

7

5

2

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

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit 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 area of circle of unit radius =

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0

1

4

π

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2

4

8

12

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An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

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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sin h x

cos h x

tan h x

cot h x

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

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

A function from X to X is denoted as

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f : X to Y

f : Y to Y

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

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α

c

b

d

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0

1

2

1/2

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

sec h x = ________

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0

-2

1

4

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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

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0

1

1/2

If f(x) = x²-x then f(0) is

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0

1

2

3

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

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)

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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