+525 The table of values represents a polynomial function f(x).
x f(x)
4 358
5 690
6 1178
7 1852
8 2742
9 3878
How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6] ?
+9481 avg rate of change over interval [7, 9]
= slope between ( 7, f(7) ) and ( 9, f(9) )
= slope between ( 7, 1852 ) and ( 9, 3878 )
= \(\frac{3878-1852}{9-7}\)
= \(\frac{2026}2\)
= 1013
avg rate of change over interval [4, 6]
= slope between ( 4, f(4) ) and ( 6, f(6) )
= slope between ( 4, 358 ) and ( 6, 1178 )
= \(\frac{1178-358}{6-4}\)
= \(\frac{820}2\)
= 410
How much greater is 1013 than 410 ?
1013 - 410 = 603
1013 is 603 greater than 410 .
+9481 avg rate of change over interval [7, 9]
= slope between ( 7, f(7) ) and ( 9, f(9) )
= slope between ( 7, 1852 ) and ( 9, 3878 )
= \(\frac{3878-1852}{9-7}\)
= \(\frac{2026}2\)
= 1013
avg rate of change over interval [4, 6]
= slope between ( 4, f(4) ) and ( 6, f(6) )
= slope between ( 4, 358 ) and ( 6, 1178 )
= \(\frac{1178-358}{6-4}\)
= \(\frac{820}2\)
= 410
How much greater is 1013 than 410 ?
1013 - 410 = 603
1013 is 603 greater than 410 .
