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Laabri

Lesson 11.3 Graph More Complicated Rational Functions

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Last updated almost 2 years ago
9 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

I can identify key characteristics of more complicated rational functions and use these characteristics to graph the functions.

I can identify key characteristics of more complicated rational functions and use these characteristics to graph the functions.

Graph 'Em Up
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Football
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Fitness
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Sketch the graph of the rational function. List any asymptotes, holes, and include the necessary number of reference points.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Sketch the graph of the rational function. List any asymptotes, holes, and include the necessary number of reference points.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Sketch the graph of the rational function. List any asymptotes, holes, and include the necessary number of reference points.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Sketch the graph of the rational function. List any asymptotes, holes, and include the necessary number of reference points.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Desmos Active:

A football team has won 6 of the 11 games played. How many consecutive wins does the team need to raise their winning percentage to 75%?

Include a screen shot of your Desmos work.

A manufacturer makes and sells fitness trackers. The average profit per fitness tracker A(x) can be calculated using the ratio of the profit to the number of fitness trackers sold:

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

The profit is equal to the revenue of the fitness trackers R(x) = 120x minus the cost of the fitness trackers C(x) = 1250 - 55x. Write a rational function to model the average profit A(x) in terms of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

State the domain of the function for the situation it represents.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Using Desmos, sketch a graph of the average profit per fitness tracker. After how many sales will the average profit be more than $120 per fitness tracker?

Paste a screen shot of your Desmos work.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

What does the horizontal asymptote tell you about the average profit per Fitness tracker?