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.
You should model it if you know the thingy to the answer then multiply the dividend to get the multiplcation using the essenials standard algarithm for properties of equality.