The table of values represents a polynomial function f(x)
How much greater is the average rate of change over the interval [7,9] than the interval [4,6]
The table shows
x f(x)
4 358
5 690
6 1178
7 1852
8 2742
9 3878
Rate of change on [7, 9] = [ 3878 - 1852] / [9 - 7 ] = 2026 / 2 = 1013
Rate of change on [4, 6 ] = [ 1178 - 358] / [ 6 - 4 ] = 820 / 2 = 410
So....the rate of change is 1013 - 410 = 603 greater