Question # 1

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

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

tan h x = _________

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If f(x) = x²- x then f(-2) is

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4

6

2

0

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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0

1

-1

2

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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If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

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

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sinx

cosx

tanx

secx

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

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Relation

Cartesian product

Function

Graph

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sin h x

cos h x

tan h x

cot h x

______________ 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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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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,∞)

The area of circle of unit radius =

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0

1

4

π

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