Rate of Change for Non-Linear Functions

Rate of Change for Non-Linear Functions Alg 1

Concept Notes Page and Practice KEY – Rate of change for non-linear functions

1) Show three examples of how the given interval can be expressed.

[x1, x2] or or x = x1 to x = x2

Here that is with values for clarity. [2, 9] or or x1 = 2 to x2 = 9

2) What two things will be provided for you in the rate of change problems?

A function or graph of reference, and a given interval

3) What two measures are always being compared when determining the slope?

A ratio of vertical distance divided by horizontal distance.

4) If a function is increasing, the slope is _positive_____.

5) When the slope is negative, the function is ___decreasing_____.

6) A horizontal line has a slope of _____0___. Is it a function? yes

7) A vertical line has a slope of _undefined_____. Is it a function? no Practice Problems Key

1. Find the rate of change pictured here from 1

Find the average rate of change of the function from x1 to x2.

2) ; x1 = 8 to x2 = -3

3) ; x1 =9 to x2 = 30

4) ; x1 =-3 to x2 = 5

5) ; x1 =3 to x2 = 5

6) ; x1 =-3 to x2 = 2 This is a TOUGH ONE!