Algebra 2 8-3 Complete Lesson: Rational Functions and Their Graphs

Last updated about 4 years ago

35 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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Algebra 2 8-3 Complete Lesson: Rational Functions and Their Graphs

Algebra 2 8-3 Complete Lesson: Rational Functions and Their Graphs

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well. Starting with Game 2, how many consecutive shots must you make to raise this season's percentage to 40%?

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well. If you never miss another shot this season, is it possible to raise your percentage to 99%? 100%? Explain your reasoning.

Problem 1 Got It? Consider the rational functions on the right. Use the items on the left to identify each function's: ◆ Domain◆ Points of discontinuity (and the type of discontinuity each represents: removable or non-removable)◆ x- and y- intercepts

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the graph of the rational function? Use the techniques you've learned to graph the function by hand. Use colors that stand out and show your work on the canvas. Include all relevant graph detail.

Problem 5 Got It? Reasoning: If you wanted a drink that is 80% orange juice, would you need to add half as much as your answer in the previous item?

Review Lesson 8-2: Match a graph of asymptotes from the left with each equation on the right.

Review Lesson 6-7: Find the inverse of the function.

Review Lesson 1-5: Solve the inequality. Graph the solution. Select BOTH the correct solution AND correct graph from the options below.

Review Lesson 4-4: Factor the expression completely.

Review Lesson 4-4: Factor the expression completely.

Vocagulary Review: Categorize each statement as true or false.

Use Your Vocabulary: Categorize each graph as continuous or discontinuous.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well. Starting with Game 2, how many consecutive shots must you make to raise this season's percentage to 40%?

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well. If you never miss another shot this season, is it possible to raise your percentage to 99%? 100%? Explain your reasoning.

Problem 1 Got It? Consider the rational functions on the right. Use the items on the left to identify each function's: ◆ Domain◆ Points of discontinuity (and the type of discontinuity each represents: removable or non-removable)◆ x- and y- intercepts

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? What is the graph of the rational function? Use the techniques you've learned to graph the function by hand. Use colors that stand out and show your work on the canvas. Include all relevant graph detail.

Problem 5 Got It? Reasoning: If you wanted a drink that is 80% orange juice, would you need to add half as much as your answer in the previous item?

Reasoning: Assume that there are no more ERROR values in the 1 column. What is the lowest possible degree of the denominator?

Review Lesson 8-2: Match a graph of asymptotes from the left with each equation on the right.

Review Lesson 6-7: Find the inverse of the function.

Review Lesson 1-5: Solve the inequality. Graph the solution. Select BOTH the correct solution AND correct graph from the options below.

Review Lesson 4-4: Factor the expression completely.

Review Lesson 4-4: Factor the expression completely.

Vocagulary Review: Categorize each statement as true or false.

Use Your Vocabulary: Categorize each graph as continuous or discontinuous.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Reasoning: Assume that there are no more ERROR values in the 1 column. What is the lowest possible degree of the denominator?

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well.

Starting with Game 2, how many consecutive shots must you make to raise this season's percentage to 40%?

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well.

If you never miss another shot this season, is it possible to raise your percentage to 99%? 100%? Explain your reasoning.

Problem 1 Got It? Consider the rational functions on the right.
Use the items on the left to identify each function's:
◆ Domain
◆ Points of discontinuity (and the type of discontinuity each represents: removable or non-removable)
◆ x- and y- intercepts

Problem 4 Got It? What is the graph of the rational function?
Use the techniques you've learned to graph the function by hand. Use colors that stand out and show your work on the canvas. Include all relevant graph detail.

Review Lesson 1-5: Solve the inequality. Graph the solution.
Select BOTH the correct solution AND correct graph from the options below.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well.

Starting with Game 2, how many consecutive shots must you make to raise this season's percentage to 40%?

Solve It! Last season, you made 40% of your basketball shots. The Game 1 shot chart shows that you did not start the season so well.

If you never miss another shot this season, is it possible to raise your percentage to 99%? 100%? Explain your reasoning.

Problem 1 Got It? Consider the rational functions on the right.
Use the items on the left to identify each function's:
◆ Domain
◆ Points of discontinuity (and the type of discontinuity each represents: removable or non-removable)
◆ x- and y- intercepts

Problem 4 Got It? What is the graph of the rational function?
Use the techniques you've learned to graph the function by hand. Use colors that stand out and show your work on the canvas. Include all relevant graph detail.

Review Lesson 1-5: Solve the inequality. Graph the solution.
Select BOTH the correct solution AND correct graph from the options below.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.