Question
Find the average rate of change between
and
, given the
function,
function,
Ask by Page Matthews. in the United States
Dec 05,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The average rate of change is 6.
Solution
To find the average rate of change of the function
between
and
, we use the formula for the average rate of change:
where
and
.
First, we need to calculate
and
.
-
Calculate
: -
Calculate
:
Now we can substitute these values into the average rate of change formula:
Thus, the average rate of change of the function
between
and
is
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Bonus Knowledge
To find the average rate of change of the function
between
and
, we first evaluate the function at these points:
-
Calculate
: -
Calculate
:
Now, we apply the formula for the average rate of change:
So, the average rate of change between
and
is
.