Respuesta :

Answer:

the correct answer is D

Answer:

The last table is the one that represents a function

Step-by-step explanation:

To be a function you can't have two different y values for the same x.

In option one, for [tex]x =2[/tex], we have two values for [tex]y[/tex]: [tex]y = 2[/tex] and [tex]y = -2[/tex]. So this is not a function.

In option two something similar happens, for [tex]x = 5[/tex] we have two different [tex]y[/tex] values: [tex]y = 2[/tex] and [tex]y = 8[/tex], this is also not a funcion.

In option three for [tex]x = 3[/tex] we also have two different values of [tex]y[/tex]: [tex]y = 4[/tex] and [tex]y = 5[/tex], this is not a function.

The correct option is the fourth:

In option four, for every [tex]x[/tex] we have a different value of [tex]y[/tex] and we don't have two [tex]y[/tex]'s for the same [tex]x[/tex] (like in the other options)