Answer:
The function is nonlinear
Step-by-step explanation:
Given
x --- y
1 --- 6
2 --- 24
3 --- 54
4 --- 96
Required
Determine if the function is linear of not
A function is linear if the difference in the successive y values are the same for corresponding values of x
When x = 1; y = 6 and when x = 2; y = 24
[tex]Difference = 24 - 6[/tex]
[tex]Difference = 18[/tex]
When x = 2; y = 24 and when x = 3; y = 54
[tex]Difference = 54 - 24[/tex]
[tex]Difference = 30[/tex]
When x = 3; y = 54 and when x = 4; y = 96
[tex]Difference = 96 - 54[/tex]
[tex]Difference = 42[/tex]
Note that the calculated differences are not equal.
Hence, the function is nonlinear
