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Which sets of ordered pairs represent functions from A to B? (Select all that apply.) A = {a, b, c} and B = {3, 4, 5, 6}

Respuesta :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

The question has mission options; However, the question is still solvable.

Given

[tex]A = \{a,b,c\}[/tex]

[tex]B = \{3,4,5,6\}[/tex]

Required

Determine possible ordered pairs of A to B

A function is of the form (x,y)

Let A be the range of the function and B, the domain

Let (x,y) be a function of A to B, where x represents any of the values in A sets and y represents any of the values in B

A ordered pair can only be regarded as a function if and only if it has unique y-values

Hence, a possible ordered pair is:

[tex](A,B) = \{(a,3),(b,4),(c,5)\}[/tex]

Another possible ordered pair is

[tex](A,B) = \{(a,4),(b,5),(c,6)\}[/tex]

Note that there as as many as possible ordered pair as long as the y-values are unique

There are many possible ordered pair as long as the y-values are unique.

  • A function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
  • A functions from A to B represent A as domain and B as range of function.

           Given that, A = {a, b, c} and B = {3, 4, 5, 6}

           Order pair may be,

               [tex](a,3),(b,4),(c,5)[/tex]

    May be,   [tex](a,6),(b,5),(c,4)[/tex]

There are many possible ordered pair as long as the y-values are unique.

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