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Analyzing Graphs
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?
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
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
LINEAR OR NON LINEAR FUNCTION
Input, x 0 5 10 15
Output, y -5 0 5 10
6  - analyzing graphs
LINEAR OR NON LINEAR FUNCTION
Input, x 2 4 6 8
Output, y 4 16 36 64
6  - analyzing graphs
LINEAR OR NON LINEAR FUNCTION
Input, x 9 10 11 12
Output, y 4 3 2 14
LINEAR OR NON LINEAR FUNCTION
Input, x 4 8 12 16
Output, y 7 7 7 7
HOMEWORK
• GREEN WORKBOOK
– 9.5: Analyzing Graphs
• pp 210

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6 - 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