Question

Determine if the following set of ordered pairs represents a quadratic function. Explain.

(5, 7), (7, 11). (9, 14). (11, 18)
(1 point)​

Answer 1

Option D

Explanation:

Given

`(5, 7), (7, 11). (9, 14). (11, 18)`

Required

Determine if the function is quadratic

`(5, 7), (7, 11). (9, 14). (11, 18)`

Start by representing the function as an x-y table

x:- 5 || 7 || 9 || 11

y:- 7 || 11 || 14 || 18

Next; Calculate the difference between the values of y

`Difference: 11 - 7 = 4`

`Difference: 14 - 11 = 3`

`Difference: 18 - 4 = 4`

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

`Difference = 3 - 4 = -1`

`Difference = 4 - 3 = 1`

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question