Average Rate of Change - Math with Mr. Sweeney

February 06, 2015

Aim: To calculate average rate of change Homework: Worksheet (posted on website)

Warm Up: Calculate the rate of change of each of the following lines.

1)

2)

February 06, 2015

In most cases, it is not realistic to travel at a constant speed for an entire trip. In these cases, however, it is possible to calculate the average speed that was traveled between specific time intervals...

(60,27) (44,23)

In this graph, Sascha recorded her distance traveled at five different points during her bike ride. The results are labeled on the graph.

(15,10) (7,8)

* Since each line segment has a different slope, this shows that she traveled at different speeds throughout her trip. However, we can represent what her average speed (slope) was by creating an imaginary line segment from the start of her trip to the end of her trip.

(0,0)

Using this created line, we can calculate what is called her "average rate of change".

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Average Rate of Change: the slope of an "imaginary" line between two specified points in a function.

* Calculating "average rate of change" is the same as calculating slope.

Ex 1: Consider the function f(x) = x2 + 3. Find its average rate of change in the interval -1 x 3.

February 06, 2015

Ex 2: (You Try) The function h(x) is given in the table below. Which of the following choices shows the average rate of change of the function over the interval 2 x 6?

1 Assessment Question!

February 06, 2015

A

B C D

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