sewolf1234
contestada

Oliver is doing a study on age and shoe size. He has collected the data shown above. Do the ordered pairs (x, y) he has collected form a function?

x (age) y (size)
8 7
9 8
10 9
8 9
14 9
15 11
10 10
33 9
27 9.5
45 10.5

A) Cannot be determined
B) Yes, because for every x there is only one y.
C) Yes, because for every y there is only one x.
D) No, because for some x's there are more than one y's.

Respuesta :

Answer: D) No, because for some x's there are more than one y's.

Step-by-step explanation:

By the definition of function,

In a function For the every input there is a single value of output.

That is, if F is a function such that [tex]F(x_1) \neq F(x_2)[/tex]

Then, [tex]x_1[/tex] and [tex]x_2[/tex] must be distinct.

But according to the given table,

For the value of 8 there are two outputs values 7 and 9.

Therefore, we can say that  the given ordered pairs (x, y) can not make the function because there are more than on y's for one value of x's.

LITTYLITZY

Answer:

D

Step-by-step explanation:

The definition of a function states that for every x there is only one y. If you look at the data table for an x- value of 8 there are 2 different y-values 7 and 9. Therefore the correct answer is No, because for some x's there are more than one y's.

Otras preguntas