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the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

the function is graphed below. On which interval of X is the average rate of change-example-1
User Tsn
by
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1 Answer

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Answer:

Between x = 48 and x = 45.

Explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change =
(\triangle y)/(\triangle x)

From the table attached,

Average rate of change of the function between x = 3 and x = 9

=
(16-7)/(9-3)

= 3

Average rate of change in the interval x = 9 and x = 22

=
(32-16)/(22-9)

=
(16)/(13)

= 1.23

Average rate of change in the interval x = 9 and x = 22,

=
(45-32)/(45-22)

=
(13)/(23)

= 0.57

Average rate of change in the interval x = 45 and x = 48,

=
(63-45)/(48-45)

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

User Andrelrms
by
8.4k points

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