1 / 5

Average Rate of Change

Average Rate of Change. Unit 1. Average Rate of Change. Average rate of Change between any two points is the slope on the line through the two points Avg. Rate of Change of f from x 1 to x 2 f(x 2 ) - f(x 1 ) x 2 – x 1. Find the A.R.O.C. Find the average rate of change of

rolf
Download Presentation

Average Rate of Change

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Average Rate of Change Unit 1

  2. Average Rate of Change • Average rate of Change between any two points is the slope on the line through the two points Avg. Rate of Change of f from x1 to x2 f(x2) - f(x1) x2 – x1

  3. Find the A.R.O.C. • Find the average rate of change of f(x) = x3 – 3x from x1 to x2 • X1 = -2, x2 = 0 • f(x2) – f(x1) = x2 – x1 f(0) – f(-2) 0 - -2 Solve f(0) 03 – 3(0) 0 - 0 = 0 Solve f(-2) -23 – 3(-2) -8 + 6 = -2 Put back into formula 0 - -2 = 0 - -2 2 = 1 2

  4. Find the A.R.O.C. • Find the average rate of change of f(x) = from x1 to x2 • X1 = 2, x2 = 11 • f(x2) – f(x1) = x2 – x1 - x – 2 + 4 f(11) – f(2) = 11 - 2 = plug back in to formula 1 – 4 11- 2 Solve f(11) - 11 - 2 +4 • -3 + 4 = 1 Solve f(2)_ - 2 – 2 + 4 -0 + 4 = 4 = -3 = -1 9 3

  5. Find the average rate of change of the function form x1 to x2 • f(x) = ½ x2 ; x1 = 0 , x2 = 2

More Related