Question # 1

f(x) = 3x/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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0

1

-1

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If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

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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π

2π

π/2

None of these

If f(x) = x²then f(2) is

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-2

2

4

-4

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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

-1

none of these

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Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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

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0

1

-1

2

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}

A function from X to Y is written as

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f : X to Y

f : Y to Y

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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

In common logarithm the base is

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1

0

10

e

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2

6

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2

4

8

12

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

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

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Relation

Cartesian product

Function

Graph

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

The function f(x) =|x| is a/an_______function

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Even

Odd

Both even as well as odd

Neither even nor odd

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1/8

1/2

1/4

1/6

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

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