1 / 6

Understanding Average Rate of Change in Functions: Concepts and Examples

This guide explores the concept of Average Rate of Change (A.R.O.C.) in mathematical functions, highlighting its significance in understanding how function values change relative to input values. Through a series of examples, including calculations of A.R.O.C. between various points and real-world applications like a runner's speed around a track, this resource provides practical insights and clear methodologies for finding the average rate of change. Ideal for students and anyone seeking to grasp this fundamental mathematical concept.

nolcha
Télécharger la présentation

Understanding Average Rate of Change in Functions: Concepts and Examples

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. 3.4 Average Rate of Change Average Rate of Change (A.R.O.C.): change in the function values over the change in the input values. For a function, y = f(x), between x = a and x = b, the A.R.O.C is:

  2. Example 1 Find the average rate of change between the indicated points. A.R.O.C. = y (-16, 6) 9 3 x -16 -12 -8 -4 4 8 12 16 (-4, -6) -9

  3. Example 2 Find the average rate of change between the indicated points. A.R.O.C. = y (12, 9) (-16, 6) 9 3 x -16 -12 -8 -4 4 8 12 16 -9

  4. Example 3 Find the average rate of change of the function between the values of the variable. A.R.O.C.

  5. Example 4 Find the average rate of change of the function between the values of the variable. A.R.O.C.

  6. Example 5 A man is running around a track 200 m in circumference. With the use of a stopwatch, his time is recorded at the end of each lap, seen in the table below. What was the man’s speed between 66s and 209s? Round answer to the nearest hundredth. Calculate the man’s speed for each lap. Please round answer to the nearest hundredth.

More Related