Which representation shows y as a function of x?

For representing y as a function of x there will be different values of 'y' for different values of 'x' and this can be determined by observing the given data. The correct option is A).

Check all options in order to determine which option represents y as a function of x:

A) In this option for different values of x, there are different values of y. So this function represents y as a function of x.

B) In this option for the value of x = 0 there are three different values of y that are 0, -5, and 12. So, this function does not represent y as a function of x.

C) In this option for the value of x = -1 there are four different values of y that are 0, 5, 10, and 15. So, this function does not represent y as a function of x.

D) In this option for the value of x = -4 there are two different values of y that are -8, and 10. So, this function does not represent y as a function of x.

For more information, refer to the link given below:

link

Option (A)

Step-by-step explanation:

If 'x' value (input value) of a function has two y-values (output values) then the representation will be a relation not a function.

Option (A).

In the option every value of x has different output value (y-value).

Therefore, Option (A) represents a function.

Option (B).

Input value x = 0 has two output values y = 0, 12

Therefore, given representation is not a function.

Option (C).

From the table attached,

Input value, x= -1 has four output values (y = 0, 5, 10, 15)

Therefore, table doesn't represent a function.

Option (D).

In the given table x = -4 has two output values y = -8 and 10.

Therefore, table doesn't represent a function.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

care to share were the trapezoid shown is ?