Inverse Variation and Graphing

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Presentation transcript:

Inverse Variation and Graphing

Objectives Identify Inverse Variations Graphing inverse variations

Reminder What is direct variation? What does the graph look like? Form of Example:

Inverse Variation What might inverse variation mean? What does the graph look like? Form of: OR: Ex.

Inverse Variation Example Graph the relationship between a bike’s speed and the time it takes to travel 24 miles.

Identify Direct or Inverse Is the relationship between the variables a direct variation, an inverse variation, or neither? Sketch a quick graph. 1) Is Y Increasing/decreasing with X? 2) Is there a consistent relationship? 3) Sketch quick graph

Graphing Inverse Variation Draw a graph for

Asymptotes? For What are the asymptotes for the function? What is the Domain? What is the Range?

Comparing Graphs On the graphing calculator, let’s graph: How are these graphs similar/different? Describe any symmetry you see.

Comparing Graphs Let’s graph How are these graphs similar/different? Describe any symmetry you see.

Homework #______ p. 488 #1-9 (describe asymptotes), 33 (make an x-y table, include pos. and neg. values)