Explain how you can tell the function is not linear by using points on its graph. Make sure to include in your answer the Points you used to determine that the function is not linear.

ummmhh, if the points don't form a straight line, then the function is not linear.

To determine if a function is linear or not, you need to analyze the points on its graph and check if they form a straight line.

Linear functions have a consistent rate of change, meaning that the slope between any two points on the graph remains the same. If the rate of change varies, the function is nonlinear.

Let's consider an example graph with the points (0, 0), (1, 1), and (2, 4).

1. Plot the points on a Cartesian coordinate system. Mark (0, 0), (1, 1), and (2, 4) on the graph.
2. Connect the points. If the resulting line is straight, the function is linear. If it curves or does not form a straight line, the function is nonlinear.

In this case, connecting the points (0, 0), (1, 1), and (2, 4) would form a curved line, indicating nonlinearity. Therefore, the function that corresponds to these points is not linear.

Note that this method is applicable when you have multiple points that are sufficient to draw a line. If you are given only two points, it is impossible to determine if the function is linear or not, as any two points can be connected by a straight line.