Question # 1

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

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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

The period sin²θis

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π²

π

2π

π/2

The area of circle of unit radius =

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0

1

4

π

A function from X to Y is written as

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f : X to Y

f : Y to Y

If f(x) = x²then f(2) is

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-2

2

4

-4

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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range of f

domain of f

both (a) and (b)

none of these

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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

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a = 1 , b = 1

a = 1 , b = 0

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

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) = x²- x then f(2) is

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4

6

2

0

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

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

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11

7

5

2

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

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

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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0

-2

1

4

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2

6

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0

1

-1

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-1

1

2

-2

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

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Images

Pre-images

ranges

Parameters

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

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Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

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

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