Question # 1

If f(x) = -x²then f(-2) is

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-2

2

-4

4

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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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2

-2

none of these

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

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a = 1 , b = 1

a = 1 , b = 0

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

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

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Relation

Graph of f

Function

All are correct

If f(x) = x²then f(-2) is

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-2

2

4

-4

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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2

6

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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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

4

8

12

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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The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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f(x) = x²

f(x²) = x

f(x) = x

none of these

If f(x) = x²- x then f(-2) is

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4

6

2

0

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

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0

1

8

∞

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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Injective function

Bijective function

Surjective function

Implicit function

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

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0

1

2

1/2

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

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