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)
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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.
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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.
Answer:
see below
Step-by-step explanation:
lim x/ (x-4)
as x approaches 4 from the left
let x = 3.9
3.9/ (3.9-4) = -39
Let x = 3.99
3.99/ (3.99 - 4) =-399
As we get closer to 4 from the left we get larger and larger so we will get closer to - negative infinity
The limit as shown in the graph is negative infinity
The vertical asymptote is x=4
The horizontal symptote is y =1
