2 years ago

Question 1-3

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

8 0

Answer:

1/3

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...

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

For the given function and interval, this is ...

(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3

The average rate of change is 1/3.

_____

In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.

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