Question # 1

A function from X to X is denoted as

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f : X to Y

f : Y to Y

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

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2

4

8

12

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The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

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Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

If f(x) = x²then f(-2) is

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-2

2

4

-4

If f(x) = x²-x then f(1) is

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0

1

2

3

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0

1

1/2

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2

1

5

0

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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

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α

c

b

d

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) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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0

1

-1

none of these

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

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

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

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

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0

1

1/2

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

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0

1

2

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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0

1

1/2

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

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

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dependent variable

independent variable

constant

none of these

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

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