Answered

Find answers to your most challenging questions with the help of IDNLearn.com's experts. Our experts provide timely, comprehensive responses to ensure you have the information you need.

find the average rate of change of over the interval (0,9 ]

Find The Average Rate Of Change Of Over The Interval 09 class=

Sagot :

Semsee45idn

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:

  • f(0) = -7
  • f(9) = 3

[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]

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.