Average Rate of change

Finding Average Rate of Change

M1T3L5

​What is AVERAGE RATE OF CHANGE?

​You've done this before by finding slope.

You are basically looking at two specific points on the graph of a function, connecting them with a straight line and determining the slope of that line.

Some text here about the topic of discussion

What is slope?

Lines always have the same slope, no matter which points you pick.

Curves may have different slopes depending on which points you select.​

​

Lines VS Curves

How to Find Average Rate of Change

​1. Identify the two coordinates you will use.

(sometimes you are only given a range of x values, like between x=1 and x=4. If that happens, you need to identify the y values for each x value.)​

​2. Identify x1, y1, x2, y2.​

Some Video Examples

Example 1: click to watch

https://youtu.be/oT6LclcJ-I8​

Some text here about the topic of discussion

Example 2: click to watch

https://youtu.be/U1lQbh21y1k​

Multiple Choice

Another name for average rate of change is...

• The distance

• The shape

• The slope

• The shift

Multiple Choice

Find the slope or average rate of change between these points:

(2,7) and (4, 12)

• 5/2

• 2/5

• 5/8

• 8/5

Multiple Choice

Given a function: $$f\left(x\right)=x^2+2$$  

Find the average rate of change between x= 1 and x= 3

(Hint: for x=1, y= 3 and for x=3, y=11)

• 2

• 4

• 1/4

Multiple Choice

Given the table of values here, determine the average rate of change over the interval -4 <x < 4

• 1/8

• -1/8

• -1

• 0

Poll

Rank your understanding of average rate of change.