Acc. Coordinate Algebra: Unit 3
Name___________________
Ms. Matrone
Date_________________
Lesson 4: Characteristics of Linear Functions
Period________
Notes
Standard and Skills
F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in
terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
SWBAT determine the domain and range of a function.
SWBAT determine the x and y intercepts of a linear function
SWBAT determine whether a linear function is increasing or decreasing
SWBAT determine the domain & range for a function.
Intercepts or “Zeros”
 x-intercept: the point at which the line intersects the ___________________ at (x,0).
 y-intercept: the point at which the line intersects the ___________________ at (0,y).
 ___________ are the same thing as the x-intercepts
Example 1: Find the x-intercept(s)
Example 2: Find the y-intercept(s)
Increasing/Decreasing Behavior
 If your finger is moving ___________ the function is INCREASING.
 If your finger is moving ____________ the function is DECREASING.
 If your finger is moving ______________ the function is CONSTANT.
Rate of Change
What does “Rate of Change” mean? ____________________________________________________________
A. Rate of Change with Points
Example 1: Find the rate of change, given the following points:
(2, 3) and (1, 4)
B. Rate of Change with functions
Example 1: Find the average rate of change for f(x) = ½x + 4 from [0 , 3]
Guided Practice
1. Find the average rate of change for f(x) = -2x – 6 from [0, 2].
2. Domain: _____________
Range: ______________
x-int: ________________
y-int: ________________
Increasing or Decreasing
Find the average rate of change from [0, 2].
3. Domain: _____________
Range: ______________
x-int: ________________
y-int: ________________
Increasing or Decreasing
Find the average rate of change from [-4, 0]