Question # 1

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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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

If f(x) = x²then f(0) is

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0

1

2

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

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

tan h x = _________

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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[

[0, 1]

]0, 1[

None of these

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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

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dependent variable

independent variable

constant

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}

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f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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1

0

-2

3

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

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

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0

1

-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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0

-4

none of these

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quadratic function

constant function

linear function

exponential function

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

f(x) = 3x⁴ -2x² + 7 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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If f(x) = x²then f(-2) is

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-2

2

4

-4

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

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