6 - analyzing graphs

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 FUNCTIONInput, x 0 5 10 15Output, y -5 0 5 10

LINEAR OR NON LINEAR FUNCTIONInput, x 2 4 6 8Output, y 4 16 36 64

LINEAR OR NON LINEAR FUNCTIONInput, x 9 10 11 12Output, y 4 3 2 14

LINEAR OR NON LINEAR FUNCTIONInput, x 4 8 12 16Output, y 7 7 7 7

HOMEWORK

• GREEN WORKBOOK – 9.5: Analyzing Graphs• pp 210