Question # 1

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

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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quadratic function

constant function

linear function

exponential function

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1

0

-2

3

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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

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α

c

b

d

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0

1

-1

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

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R/[0,4]

R/(0,4)

(0,4)

[0,4]

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

A function from X to Y is written as

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f : X to Y

f : Y to Y

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}

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

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0

-4

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

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2

1

5

0

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

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0

1

1/2

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

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

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0

1

-1

none of these

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

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

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