Algebra-1

Let's analyze the given 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.

Calculate the slope between pairs of points to check for consistency:
From x=−5 to x=−2:


From x=−2 to x=2:

Click "Show Answer" to reveal the answer and analysis