1. Dependent and Independent Variables
The Dependent Variable changes in response to another variable.
Output Value
The Independent Variable determines the value of the dependent variable.
Input Value
What would that look like as an equation?
Output Value
Dependent Variable
Input Value
Independent Variable

2. Representing a Geometric Relationship
The diagram below shows a relationship between the number of rectangles and the perimeter of the figure they form. Represent this relationship using a table, words, an equation, and a graph.
Asi De Facil
Graph 22 18 14 10 6 2
Table
Words
Equation
Multiply the number of rectangles by 2 and add 12 to get the perimeter.

3. Representing a Linear Function
A function is a relationship that pairs each input value with exactly one output value.
A linear function is a function whose graph is a non-vertical line.
The accompanying table shows the relationship between the number of photos, x, you take and the amount of memory, y, left on your memory chip. Is the relationship a linear function? Describe the relationship using words, an equation, and a graph.
This is a linear function because there is a constant rate of change.
Graph
512
510
508
506
504
502
500 -3
Equation
That was easy -3 -3
Words
The amount of memory left is 512 minus 3 times the number of photos taken.

4. More Representing Linear Functions
For each table, determine whether the relationship is a linear function. Then represent the relationship using words, an equation, and a graph.
Equation
Equation
Asi De Facil +5 -6 +5 -6
Graph
Graph +5 -6 22 18 14 10 6 2 22 18 14 10 6 2
This is a linear function because there is a constant change.
This is a linear function because there is a constant change.
Words
Words
Start with 7 and add 5 for each increase of 1 to x.
Start with 20 and subtract 6 for each increase of 1 to x.

5. Homework
Page :
6 – 13 All Questions

6. Classifying Functions as Linear or Nonlinear
Determine whether each function is linear or nonlinear.
Linear
Nonlinear
Linear
Nonlinear
Linear
Linear
Nonlinear
Nonlinear

7. More Classifying Functions
Graph the function shown by each table and tell whether the function is linear or nonlinear. 11 9 7 5 3 1 11 9 7 5 3 1 6 4 2 -2 -4 11 9 7 5 3 1
Nonlinear
Linear
Nonlinear
Nonlinear

8. Writing a Rule to Represent a Nonlinear Function
Each set of ordered pairs represents a function.
Write a rule that represents each function.
That takes some work but I think I can do it.

9. Homework
Page 250: 6 – 11 and 14, 15

10. Graph of a Function Model each rule with a table and a graph y y y -3x y x y x y -3 7 -2 10 -3 1 -2 8 4 3
-11 2 6 3 7 8 6 4 2 -2 -4 -6 -8 8 6 4 2 -2 -4 -6 -8 8 6 4 2 -2 -4 -6 -8

11. 8 6 4 2 -2 -4 -6 -8 x y

12. Homework
Page 257: 10 – 20 Even Numbers