To determine which function has a greater rate of change than the function represented in the table, we need to compare the rates of change of the different functions. The rate of change of a function represents how much the function changes for every unit increase in the input variable.
To find the rate of change for the function represented in the table, we can compare the differences in the function values for consecutive input values:
x | f(x)
---------
1 | 2
2 | 5
3 | 8
4 | 11
From x = 1 to x = 2, the function increases by 5 - 2 = 3.
From x = 2 to x = 3, the function increases by 8 - 5 = 3.
From x = 3 to x = 4, the function increases by 11 - 8 = 3.
The rate of change of the original function is therefore constant at 3 for every unit increase in x.
To determine which function has a greater rate of change, we need additional information or functions to compare. Please provide the other functions or additional details to make a comparison.
Which function has a greater rate of change than the function represented in the table.
1 answer