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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] ?
Question 8 options:

1500


1/1500


5382


1/5382

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] ? Qu class=

Answer :

sqdancefan

Answer:

  1500

Step-by-step explanation:

The average rate of change of a function on the interval [a, b] is given by ...

  rate of change = (f(b) -f(a))/(b -a)

On the interval [7, 9], the average rate of change is ...

  (5760 -1920)/(9 -7) = 3840/2 = 1920

On the interval [4, 6], the average rate of change is ...

  (945 -105)/(6 -4) = 840/2 = 420

The rate of change on the first interval is greater by ...

  1920 -420 = 1500

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