Answer:
3. 10/9
4. 34
Step-by-step explanation:
The average rate of change of f(x) over the interval a ≤ x ≤ b is:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Problem 3
Given interval: 0 ≤ x ≤ 9
From inspection of the graph:
[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]
Problem 4
Given:
- function f(x) = x³ - 9x
- interval: 1 ≤ x ≤ 6
⇒ f(1) = (1)³ - 9(1) = -8
⇒ f(6) = (6)³ - 9(6) = 162
[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]
