Question

Which one of the given equations does not represent a function? O 2r + 4 = y + 2 O2-rr- Oy=-22° + 16 +34 Or- y = 13​

Answer 1

Explanation:

Given

`2r + 4 = y + 2`

`2-r = y`

`y=-22 + 16 +34`

`r- y = 13`

Required

Determine which is not a function

A [linear] function is always in the form:

`y = mx + b`

Checking each of the given options:

A.

`2r + 4 = y + 2`

Subtract 2 from both sides

`2r + 4 - 2= y + 2 - 2`

`2r + 2= y`

Reorder

`y = 2r + 2`

B.

`2 - r = y`

Reorder

`y = 2 - r`

C.

`y=-22 + 16 +34`

`y=28`

D.

`r- y = 13`

Subtract r from both sides

`r - r - y = 13 - r`

`- y = 13 - r`

Multiply both sides by -1

`y = -13 + r`

`y = r - 13`

Only option C does not conform with the general form
`y = mx + b`

Hence;

Option C answers the question