Answer:
Average rate of change =4.75.
Explanation:
Given function is .
Now we need to find the average rate of change of f(x) for .
So plug these values into average rate of change (ARC) formula.
So the final answer is average rate of change =4.75.
4.75
Given
f(x)= (x^2-1)/(x-4)
The average rate of change for the interval a≤x≤b is given by:
Rate of change= (f(b)-f(a))/(b-a)
In our question,
a=2
and
b=6
So,
f(2)= ((2)^2-1)/(2-4)
=(4-1)/(-2)
= -3/2
And
f(6)= ((6)^2-1)/(6-4)
=(36-1)/2
= 35/2
Rate of change= ( 35/2-(-3/2))/(6-2)
=(35/2+3/2)/(6-2)
= ((35+3)/2)/4
=(38/2)/4
=19/4
=4.75
The average rate of change is 4.75 ..
7.6m questions
10.2m answers