Activity 1.6Depreciation

In your groups…

• Read page 51

• Complete exercises 1 and 2 in your groups

• Don’t forget– Average rate of change is

– UNITS!!!!!!!!!!!!!!!!!!!!!!!!!

inputinChange

outputinChange

Definition

• A linear function always has a constant average rate of change

• Answer question 3 in your groups

• Work on problem 4 in your groups

inputinChange

outputinChange

Definition• We call the constant average rate of change the

slope of the line

• If x represents the input variable and y represents the output variable, than the slope m is given by

• Answer question 5 in your groups

inputoutput

xxyy

xym

12

12

Definition

• The point where the graph crosses (or intercepts) the vertical axis is called the vertical intercept– The input value of a vertical intercept is always

zero– Often we refer to it as the y-intercept since we

typically refer to the vertical axis as the y-axis

• In your groups do problems 6, 7 and 8

Definition

• Linear functions are most commonly written as y = b + mx or y = mx + b where m is the slope and b is the y-intercept– This is called the slope intercept form of the

equation of a line– Using our function notation this can also be

written as f(x) = mx + b

• Do problem 9 in your groups

Definition• The horizontal intercept is where the graph

crosses (or intercepts) the x-axis– The output value is always zero at this point– These are sometimes referred to as the zeros or the

roots of a function– When the input variable is represented by x we call

this the x-intercept

• Read example two and discuss solution in your groups

• Do problems 10 and 11

Cluster Practice

• Work on Cluster 1 on page 37

• Work on problems 1-14