Answer:
Option D
Step-by-step explanation:
Given
[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]
Required
Determine if the function is quadratic
[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]
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
[tex]Difference: 11 - 7 = 4[/tex]
[tex]Difference: 14 - 11 = 3[/tex]
[tex]Difference: 18 - 4 = 4[/tex]
The resulting difference are: 4 || 3 || 4
Next; Calculate the difference between the difference of values of y
[tex]Difference = 3 - 4 = -1[/tex]
[tex]Difference = 4 - 3 = 1[/tex]
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
