Let F Be a Function from a Set X to a Set

Question

Examlex · Accepted Answer

The Answer is Sample correct answers: A function

f

from a set

X

to a set

Y

is one-to-one if, and only if, given any elements

x _ { 1 }

and

x _ { 2 }

in

X

, if

f \left( x _ { 1 } ight) = f \left( x _ { 2 } ight)

then

x _ { 1 } = x _ { 2 }

.

A function

f

from a set

X

to a set

Y

is one-to-one if, and only if, given any elements

x _ { 1 }

and

x _ { 2 }

in

X

, if

x _ { 1 } eq x _ { 2 }

then

f \left( x _ { 1 } ight) eq f \left( x _ { 2 } ight)

.

A function

f

from a set

X

to a set

Y

is one-to-one if, and only if, given any element

y

in

Y

, there is at most one element

x

in

X

such that

f ( x ) = y

.

A function

f

from a set

X

to a set

Y

is one-to-one if, and only if, each element

y

in

Y

, is the image of at most one element

x

in

X

.

Essay