The table of values represents a polynomial function f (x).
How much greater is the average rate of change over the interval [5, 7] than the interval [2, 4]?
X values: 2 3 4 5 6 7
F(x) values: 39 125 287 549 935 1469
Thanks for all of your help
avg rate of change over the interval [5, 7] = f(7)−f(5)7−5
avg rate of change over the interval [5, 7] = 1469−5497−5
avg rate of change over the interval [5, 7] = 9202
avg rate of change over the interval [5, 7] = 460
avg rate of change over the interval [2, 4] = f(4)−f(2)4−2
avg rate of change over the interval [2, 4] = 287−394−2
avg rate of change over the interval [2, 4] = 2482
avg rate of change over the interval [2, 4] = 124
How much greater is the avg rate of change over the interval [5, 7] than the avg rate of change over the interval [2, 4] ? That is...how much greater is 460 than 124 ?
460 - 124 = 336
460 is 336 greater than 124 .
avg rate of change over the interval [5, 7] = f(7)−f(5)7−5
avg rate of change over the interval [5, 7] = 1469−5497−5
avg rate of change over the interval [5, 7] = 9202
avg rate of change over the interval [5, 7] = 460
avg rate of change over the interval [2, 4] = f(4)−f(2)4−2
avg rate of change over the interval [2, 4] = 287−394−2
avg rate of change over the interval [2, 4] = 2482
avg rate of change over the interval [2, 4] = 124
How much greater is the avg rate of change over the interval [5, 7] than the avg rate of change over the interval [2, 4] ? That is...how much greater is 460 than 124 ?
460 - 124 = 336
460 is 336 greater than 124 .