Download presentation

Presentation is loading. Please wait.

1
**Identifying the Average Rate of Change**

Adapted from Walch Education

2
Average of Rate Change The average rate of change of a function is the rate of change between any two points of a function; it is a measure of how a quantity changes over some interval. The average can be found by calculating the ratio of the difference of output values to the difference of the corresponding input values, from x = a to x = b. This formula is often referred to as the average rate of change formula. 5.5.3: Identifying the Average Rate of Change

3
Average Rate of Change Recall that the slope of a linear function is found using the formula Both formulas are used to find the rate of change between two specific points. The rate of change of a linear function is always constant, whereas the average rate of change of a quadratic function is not constant. 5.5.3: Identifying the Average Rate of Change

4
Practice # 1 Calculate the average rate of change for the function f(x) = x2 + 6x + 9 between x = 1 and x = 3. 5.5.3: Identifying the Average Rate of Change

5
**Evaluate the function for x = 3 and x = 1**

f(x) = x2 + 6x + 9 Original function f(3) = (3)2 + 6(3) + 9 Substitute 3 for x. f(3) = 36 Simplify. f(x) = x2 + 6x + 9 Original function f(1) = (1)2 + 6(1) + 9 Substitute 1 for x. f(1) = 16 Simplify. 5.5.3: Identifying the Average Rate of Change

6
**Use the average rate of change formula**

Substitute 1 for a and 3 for b. Substitute the values for f(3) and f(1). Simplify. 5.5.3: Identifying the Average Rate of Change

7
You Try. Use the graph of the function at right to calculate the average rate of change between x = –3 and x = –2. 5.5.3: Identifying the Average Rate of Change

8
Thanks for Watching! Ms. Dambreville

Similar presentations

OK

Creating and Graphing Equations Using the x - intercepts Adapted from Walch Education.

Creating and Graphing Equations Using the x - intercepts Adapted from Walch Education.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on health care system in india Ppt on 9 11 attack Ppt on taj mahal pollution Ppt on video teleconferencing certifications Powerpoint template free download ppt on pollution Ppt on model view controller design Ppt on annual review meeting Ppt on world diabetes day colors Ppt on functions of indian parliament Ppt on carburetor working