Warm Up Finish your matching activity from yesterday and get a HW sheet from the front.Finish your matching activity from yesterday and get a HW sheet.

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Presentation transcript:

Warm Up Finish your matching activity from yesterday and get a HW sheet from the front.Finish your matching activity from yesterday and get a HW sheet from the front. Matching activity will be due in 15 minutes!Matching activity will be due in 15 minutes!

Direct & Inverse Variation March 14 th, 2014

Direct Variation

Example set 1

Example set 2

You Try!

Inverse Variation What DOES NOT work in the denominator?

Example 1

Write the inverse variation…

Example Suppose y = - 8 varies inversely with x = -32 Write the equation for inverse variationSuppose y = - 8 varies inversely with x = -32 Write the equation for inverse variation What is x when y = - 4?What is x when y = - 4?

Partner Race-Direct Variation The first set of partners to finish the puzzles on FRONT & BACK get a prize!The first set of partners to finish the puzzles on FRONT & BACK get a prize!

Partner Race-Inverse Variation The first set of partners to finish the puzzles on FRONT & BACK get a prize!The first set of partners to finish the puzzles on FRONT & BACK get a prize!

Homework WorksheetWorksheet

Warm Up 2) Suppose y = - 4 varies inversely with x = -108 Write the equation for inverse variation. What is x when y = 16?

Graphing Rational Functions March 17 th, 2014

Direct vs. Inverse

Graphs

Graph: Example 1 What is the DOMAIN & RANGE for this graph? Do you remember how to write it in interval notation? DOMAIN: RANGE:

Graph: Example 2 XY Domain: Range:

Graph: Example 3 XY Domain: Range:

General Form of Rational

Some tips on graphing…

Transformations

Graph: Example 1

Summary Vertical Asymptotes are of the form x = # and can be found in the denominator (bottom of the fraction)Vertical Asymptotes are of the form x = # and can be found in the denominator (bottom of the fraction) Horizontal Asymptotes are of the form y = # and can be found added or subtracted next to the function.Horizontal Asymptotes are of the form y = # and can be found added or subtracted next to the function.

Graph: Example 2

What does “a” do to the graph?

Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

Try to graph this one! What are the transformations? XY Transformations: Domain: Range:

Partner Race! Complete the standardized test prep questions correctly FIRST and you will win a prize!Complete the standardized test prep questions correctly FIRST and you will win a prize!

ANSWERS A I D Equation: s = (720/t) - pEquation: s = (720/t) - p Answer = 144 minutes Answer = 144 minutes

A Function Fable-TICKET OUT Complete the three graphs for the “A Function Fable”Complete the three graphs for the “A Function Fable”

Homework Worksheet!Worksheet!