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
𝑥1 ≤ 𝑥 ≤ 𝑥2
Here that is with values for clarity.
or x = x1 to x = x2
[2, 9] or
2≤𝑥≤9
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
Rate of Change for Non-Linear Functions Alg 1
Practice Problems Key
1. Find the rate of change pictured here from 1<x<3
Find the average rate of change of the function from x1 to x2.
2)
f ( x)  3 x  2 ; x1 = 8 to x2 = -3
3) g ( x) 
x  5 ; x1 =9 to x2 = 30
4) k ( x)  2 x 2 ; x1 =-3 to x2 = 5
5) p( x)  2 x  3 ; x1 =3 to x2 = 5
6) n( x)  3x3  2 ; x1 =-3 to x2 = 2
This is a TOUGH ONE!