The document discusses analyzing graphs and the relationship between dependent and independent variables. It defines a linear function as one where the output changes linearly in proportion to the input. Examples of linear and non-linear graphs are provided to illustrate the difference. Students are assigned homework analyzing graphs from a workbook.

1. Analyzing Graphs

2. COMMON CORE & ESSENTIAL ?
Common Core
• 6.EE.9: Use variables to
represent two quantities in a real-
world problem that change in
relationship to one another; write
an equation to express one
quantity, thought of as the
dependent variable, in terms of
the other quantity, thought of as
the independent variable.
Analyze the relationship between
the dependent and independent
variables using graphs and tables,
and relate these to the equation.
Essential Question
• How can you analyze a
function from a graph?

3. LINEAR OR NON LINEAR FUNCTION
• VOCABULARY
– Linear Function: function that can be written as
y = mx + b; or a straight line. For every 1 input; 1
output

4. LINEAR OR NON LINEAR FUNCTION

5. LINEAR OR NON LINEAR FUNCTION

6. LINEAR OR NON LINEAR FUNCTION

7. LINEAR OR NON LINEAR FUNCTION

8. LINEAR OR NON LINEAR FUNCTION

9. LINEAR OR NON LINEAR FUNCTION

10. LINEAR OR NON LINEAR FUNCTION

11. LINEAR OR NON LINEAR FUNCTION
Input, x 0 5 10 15
Output, y -5 0 5 10

13. LINEAR OR NON LINEAR FUNCTION
Input, x 2 4 6 8
Output, y 4 16 36 64

15. LINEAR OR NON LINEAR FUNCTION
Input, x 9 10 11 12
Output, y 4 3 2 14

16. LINEAR OR NON LINEAR FUNCTION
Input, x 4 8 12 16
Output, y 7 7 7 7

17. HOMEWORK
• GREEN WORKBOOK
– 9.5: Analyzing Graphs
• pp 210