Lesson 11.3 Graph More Complicated Rational Functions

Instructions

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

2

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

2

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

3

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

3

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

2

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: 

1

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.

1

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

1

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.

1

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

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

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

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

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.

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.

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

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.

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

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.

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.