46.7k views
0 votes
Find the average rate of change of the function f(x)

f(x) = 10 from [2, 3].
x-4

User Oleksandra
by
7.5k points

1 Answer

3 votes

Answer:

Explanation:

The formula for average rate of change of a function f(x) over an interval [a, b] is given by:

Average rate of change = [f(b) - f(a)] / (b - a)

In this case, we are given the function f(x) = 10 and the interval [2, 3]. So, a = 2 and b = 3. Substituting these values, we get:

Average rate of change = [f(3) - f(2)] / (3 - 2)

= [(10 x 3 - 4) - (10 x 2 - 4)] / (3 - 2)

= (30 - 20) / 1

= 10

Therefore, the average rate of change of the function f(x) = 10 from [2, 3] is 10.

User Abl
by
8.9k points