Consider the function that assigns to each positive number x the value Do you think this function is linear or nonlinear?
Develop a list of inputs and outputs for this function. Organize your work using the table below. Then, answer the questions that follow.

Input (x)
Output (y)
0.1
1/10 .
0.2
1/5
0.4
2/5
0.5
1/2
0.8
4/5
1
0
1.6
8/5
2
0
2.5
5/2
4
0
5
0

Plot the inputs and outputs as ordered pairs defining points on the coordinate plane.- You will do this on the peardeck or a piece of paper.
What shape does the graph of the points appear to take?
Find the rate of change using rows 1 and 2 from the table above.
Find the rate of change using rows 2 and 3 from the table above.
Find the rate of change using any two other rows from the table above.
Return to your initial claim about the function. Is it linear or nonlinear? Justify your answer with as many pieces of evidence as possible.