Question # 1

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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}

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

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

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

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

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

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0

1

1/2

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

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

sec h x = ________

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The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

If f(x) = x²-x then f(1) is

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0

1

2

3

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

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dependent variable

independent variable

constant

none of these

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

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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

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2

4

8

12

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0

1

2

Which is not included in the domain of cos^-1x

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0

1

-1

2

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

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

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1

2

3

4

A function from X to X is denoted as

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f : X to Y

f : Y to Y

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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

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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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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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2

1

5

0

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

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2

-1

8

not defined

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

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

______________ 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

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

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