What is the average rate of change for this function for the interval from x=3 to x=5?
2 answers:
Answer:
The average rate of change is
Step-by-step explanation:
Given:
Interval; x = 3 to x = 5
We'll represent these by
x1 = 3
x2 = 5
The corresponding y values are:
When x = 3, y = 8
When x = 5, y = 32
This will also be represented
y1 = 8
y2 = 32
Average rate of change is then calculated as follows
Where m represent average rate of change
By Substitution, we have
Hence, the average rate of change is
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 3, 5 ]
From the table of values
f(b) = f(5) = 32
f(a) = f(3) = 8
Hence
average rate of change = = = 12
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The answer is 12. Next time try all of the answer option on your calculator first. I just tried each one
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is right answer