Question

Determine if the function represented by the table is linear. Explain.

Answer 1

Answer:

The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Step-by-step explanation:

Given the table

x     -10       -14         -18         -24

y       6         10          16          24

• A linear function has a constant change in x and a constant change in y values.

In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.

It is clear that there is a NO constant change in x

i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6

It is clear that there is a NO constant change in y

i.e. 10-6=4, 16-10 = 6, 24-16 = 8

Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.