Unit 03, Lesson 7.notebook

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October 19, 2018

Unit 03, Lesson 7.notebook

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October 19, 2018

Unit 03, Lesson 7.notebook

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October 19, 2018

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yOblique SketchLesson 7:  Rational Inequalities

Unit 03, Lesson 7.notebook

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October 19, 2018

Lesson 7:  Rational Inequalities

Consider:  

Now Consider:

Unit 03, Lesson 7.notebook

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October 19, 2018

For Rational Inequalities:Ø Put all terms on the left, leaving zero on the right.Ø Simplify the rational to a single fraction.Ø Find all the roots of the numerator and denominator.Ø Using these roots create a sign table for the fraction.Ø Select the correct intervals.

Unit 03, Lesson 7.notebook

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October 19, 2018

Ex 1:  Solve

a)

Attachments

MFH_Asymptote becomes a hole.Unit 6 Day 6.ppt

Disappearing Asymptotes

The Visual Answers

Disappearing Asymptotes:

Consider the graph of the function defined by:

And then, the graph of the function defined by:

hole in the graph!

Again:

hole in the graph!

Now consider:

GRAPHICALLY !

*

Save this slide for MCV4.

Consider the graph of a series of rational functions with denominator of the form x – a, where 1 < a < 2.

Keep your eye on:

1) the position of the vertical asymptote

2) the diagonal distance between the two

“halves” of the graph.

hole in the graph!

Extension:

What would happen if we explored the same relationship from the left side of the asymptote? i.e.

How would the graph change, etc.?

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SMART Notebook

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