Question # 1

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

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Injective function

Bijective function

Surjective function

Implicit function

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) = x²-x then f(0) is

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0

1

2

3

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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

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images

pre-images

constants

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

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

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

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

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0

1

1/2

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0

1

none of these

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A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

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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0

-4

none of these

If f(x) = x²- x then f(2) is

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4

6

2

0

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sin h x

cos h x

sec h x

cosec h x

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

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