The table shows a function. Is the function linear or nonlinear?

To determine if a function is linear or nonlinear, we need to check if the relationship between the variables can be described by a straight line. A linear function has the form (y = mx + b), where (m) is the slope and (b) is the y-intercept. If the graph of the function is a straight line, it’s linear; if it curves or has a different shape, it’s nonlinear.

If you have specific data from the table that shows the function, assess the changes in (y) for equal changes in (x). If these changes are consistent, it indicates a linear function. If they vary, the function is nonlinear.

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