kittyc4ever34
kittyc4ever34 kittyc4ever34
  • 21-02-2020
  • Mathematics
contestada

For what value of c is the relation a function?

StartSet (2, 8), (12, 3), (c, 4), (negative 1, 8), (0, 3) EndSet

Respuesta :

SaniShahbaz
SaniShahbaz SaniShahbaz
  • 27-02-2020

Answer:

{ c  ∣  c ≠  2 , 12, -1, 0, c ∈ R }

Step-by-step explanation:

Considering the set

[tex]\left\{\left(2,\:8\right),\left(12,\:3\right),\:\left(c,\:4\right),\:\left(-1,\:8\right),\:\left(0,\:3\right)\right\}[/tex]

As we know that

  • A function is said to be a relation if every x-value has one and only one y-value.

So, the value of c must not be equal to 2, 12, -1, 0 i.e. c ≠ 2, 12, -1, 0

Therefore,

                   { c  ∣  c ≠  2 , 12, -1, 0, c ∈ R }

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