Question # 1

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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

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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π

π/2

2π

None of these

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Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

If f(x) = x²then f(0) is

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0

1

2

none of these

Which is not included in the domain of cos^-1x

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0

1

-1

2

f(x) = C is

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identity function

constant function

linear function

quadratic function

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

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

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a = 1 , b = 1

a = 1 , b = 0

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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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0

1

-1

If f(x) = x²then f(-2) is

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-2

2

4

-4

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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sin h x

cos h x

sec h x

cosec h x

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

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tan h x = _________

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If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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-1

1

2

-2

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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

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