Question # 1

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The area of circle of unit radius =

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0

1

4

π

The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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

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π

π/2

2π

None of these

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) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

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

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1

2

3

4

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0

1

-1

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If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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3/4

r

v

None of these

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

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0

1

1/2

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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sin h x

cos h x

tan h x

cot h x

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-2

-1

1

2

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0

1

-1

none of these

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

If f(x) = x²- x then f(-2) is

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4

6

2

0

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

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Injective function

Bijective function

Surjective function

Implicit function

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

The domain the function : f(x) = x² is given by

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R

Set of all non-negative Real numbers

R^-1

None of these

If f(x) = x²then f(-2) is

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-2

2

4

-4

If f(x) = x²-x then f(1) is

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0

1

2

3

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