Question

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

Answer 1

Answer:

Option D

Step-by-step 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