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What is a function? Can the following set of ordered pairs represent functions? Why or why not? A =(-4,-4), (2,0), (6,4) ,(10,2) B=(9,3), (9,-3), (4,2), (5,-2) C=(-3,7), (-2,7), (1,7),(0,7)

Respuesta :

A can represent a function because X isn't being repeated but for B nine is getting repeated so it is not a function because every input has to have one output
frika

Answer:

A and C represent a function and B doesn't represent.

Step-by-step explanation:

A function is a relation that maps one output value of y for each input value of x.

A. Ordered pairs can be written as relation

  • -4→-4;
  • 2→0;
  • 6→4;
  • 10→2.

Here each input value of x determines one output value of y and this set of ordered pairs represents function.

B. Ordered pairs can be written as relation

  • 9→3;
  • 9→-3;
  • 4→2;
  • 5→-2.

Here for input value x=9 there are 2 output values of y (y=3 or y=-3). This set of ordered pairs doesn't represent function.

C. Ordered pairs can be written as relation

  • -3→7;
  • -2→7;
  • 1→7;
  • 0→7.

There is exactly one y for each x, then this set of ordered pairs represents function.

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