Algebra-1

Let's analyze the table to determine if it represents a linear function, a nonlinear function, or if it's not a function at all.

Functionality check:

Each value of x corresponds to a unique value of y, and there are no repeated x values with different y values. Therefore, the table represents a function.

Linearity check:

For a function to be linear, the change in y for a constant change in x (slope) should be consistent throughout the table.

Let's check the changes in y:

From x=−6 to x=−3:

y changes from 4 to 2⇒cha...