Yes, the relationship between x and y is a non-linear function.
Step-by-step explanation:
Given the table
Edge Length, x Surface Area, y
1 6
2 24
3 54
4 96
The table values clearly represent a function, because each input value has one and only one output value. i.e. there is no repetition of x values.
Also from the table values and the graph, it is clear that the function is not a linear function, because the graph is not a straight line. Also, In a cubic function, the highest power over the x variable(s) is 3. So, it is not a linear function.
Hence, we conclude that Yes, the relationship between x and y is a non-linear function.
