Question # 1

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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images

pre-images

constants

none of these

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1/8

1/2

1/4

1/6

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0

1

none of these

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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2

0

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1

0

-2

3

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

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

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3/7

-2/5

-7/5

-7/3

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

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

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0

1

1/2

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

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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) = x²then f(-2) is

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-2

2

4

-4

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sin h x

cos h x

sec h x

cosec h x

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-2

-1

1

2

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0

1

-1

none of these

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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quadratic function

constant function

linear function

exponential function

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The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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}

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

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