The multiplicative rate of change of the function is 6, 2, 8/9, 4/9.
The multiplicative rate of change of a function can be found by examining the ratio of the y-values to the x-values.
In this case, the function is given by the table:
x | y
1 | 6
2 | 4
3 | 8/3
4 | 16/9
To find the multiplicative rate of change, we can examine the ratio of the y-values to the x-values:
For x=1, y=6, so the rate of change is 6/1 = 6
For x=2, y=4, so the rate of change is 4/2 = 2
For x=3, y=8/3, so the rate of change is (8/3)/3 = 8/9
For x=4, y=16/9, so the rate of change is (16/9)/4 = 4/9
Therefore, the multiplicative rate of change of the function is 6, 2, 8/9, 4/9.