Question # 1

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2

1

5

0

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-1

1

2

-2

If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

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 y=f(x) is a function then y is called

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dependent variable

independent variable

constant

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

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0

1

2

1/2

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2

0

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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images

pre-images

constants

none of these

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3/4

r

v

None of these

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2

4

8

12

In natural logarithm the base is

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1

0

10

e

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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

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0

1

8

∞

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

tan h x = _________

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f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

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0

3

9

-3

If f(x) = x²then f(-2) is

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-2

2

4

-4

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2

-2

none of these

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

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

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0

1

2

f(x) = C is

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identity function

constant function

linear function

quadratic function

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

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