Question # 1

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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

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

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Relation

Graph of f

Function

All are correct

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

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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range of f

domain of f

both (a) and (b)

none of these

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0

1

1/2

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f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

f(x) = C is

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identity function

constant function

linear function

quadratic function

tan h x = _________

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0

1

-1

none of these

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0

1

none of these

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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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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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quadratic function

constant function

trigonometric function

linear function

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

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 function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

Sin h^-1x = _________

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The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

If f(x) = x²then f(0) is

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0

1

2

none of these

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f(x) = x²

f(x²) = x

f(x) = x

none of these

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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ECAT Mathematics Chapter 17 Functions and Limits Online Test MCQs With Answers

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