Lesson 11.2 Graph Simple Rational Functions

Last updated over 1 year ago

13 questions

Note from the author:

I can graph the rational function 
and use the graph's key features to graph transformations of this function. 

Instructions

I can graph the rational function 
and use the graph's key features to graph transformations of this function. 

Graph 'Em Up

Equation 'Em Up

Do you know the Muffin Man?

What's the real cost?

Lesson 11.2 Graph Simple Rational Functions

Last updated over 1 year ago

13 questions

Note from the author:

I can graph the rational function 
and use the graph's key features to graph transformations of this function. 

Instructions

I can graph the rational function 
and use the graph's key features to graph transformations of this function. 

Graph 'Em Up

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Equation 'Em Up

Write an equation of the graph shown? Use the form

Do you know the Muffin Man?

Kyle spent $100 buying mixing bowls and pans for making muffins. His cost for the ingredients for each muffin is $0.75. Write an equation giving Kyle’s total cost per muffin as a function of the number of muffins he makes.

How many muffins must he make for the total cost per muffin to be at most $1.25?

What's the real cost?

Lacy buys a cell phone for $300 and pays $40 per month for cellular service.

Write an equation that gives Lacy’s average monthly cost c(m) of owning the cell phone as a function of the number of months m she owns it.

Find Lacy’s average monthly cost after she has owned the phone for 2 months.

Why is her monthly cost after 2 months so high?

Desmos Time:

For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?

Take a screen shot of your Desmos work and paste it in the Show Your Work.

Lesson 11.2 Graph Simple Rational Functions

Lesson 11.2 Graph Simple Rational Functions

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Write an equation of the graph shown? Use the form

Write an equation of the graph shown? Use the form

Kyle spent $100 buying mixing bowls and pans for making muffins. His cost for the ingredients for each muffin is $0.75. Write an equation giving Kyle’s total cost per muffin as a function of the number of muffins he makes.

How many muffins must he make for the total cost per muffin to be at most $1.25?

Write an equation that gives Lacy’s average monthly cost c(m) of owning the cell phone as a function of the number of months m she owns it.

Find Lacy’s average monthly cost after she has owned the phone for 2 months.

Why is her monthly cost after 2 months so high?

Desmos Time:

For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?

Take a screen shot of your Desmos work and paste it in the Show Your Work.

If Lacy owns the phone for 3 years before buying a new one, what is her average monthly cost over her ownership period?

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Write an equation of the graph shown? Use the form

Write an equation of the graph shown? Use the form

Kyle spent $100 buying mixing bowls and pans for making muffins. His cost for the ingredients for each muffin is $0.75. Write an equation giving Kyle’s total cost per muffin as a function of the number of muffins he makes.

How many muffins must he make for the total cost per muffin to be at most $1.25?

Write an equation that gives Lacy’s average monthly cost c(m) of owning the cell phone as a function of the number of months m she owns it.

Find Lacy’s average monthly cost after she has owned the phone for 2 months.

Why is her monthly cost after 2 months so high?

Desmos Time:

For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?

Take a screen shot of your Desmos work and paste it in the Show Your Work.

If Lacy owns the phone for 3 years before buying a new one, what is her average monthly cost over her ownership period?

Lesson 11.2 Graph Simple Rational Functions

Lesson 11.2 Graph Simple Rational Functions

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Write an equation of the graph shown? Use the form

Write an equation of the graph shown? Use the form

Kyle spent $100 buying mixing bowls and pans for making muffins. His cost for the ingredients for each muffin is $0.75. Write an equation giving Kyle’s total cost per muffin as a function of the number of muffins he makes.

How many muffins must he make for the total cost per muffin to be at most $1.25?

Write an equation that gives Lacy’s average monthly cost c(m) of owning the cell phone as a function of the number of months m she owns it.

Find Lacy’s average monthly cost after she has owned the phone for 2 months.

Why is her monthly cost after 2 months so high?

Desmos Time:For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?Take a screen shot of your Desmos work and paste it in the Show Your Work.

If Lacy owns the phone for 3 years before buying a new one, what is her average monthly cost over her ownership period?

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Identify the asymptotes, two reference points, the domain, and the range of the function below. Then graph the function.

Write an equation of the graph shown? Use the form

Write an equation of the graph shown? Use the form

Kyle spent $100 buying mixing bowls and pans for making muffins. His cost for the ingredients for each muffin is $0.75. Write an equation giving Kyle’s total cost per muffin as a function of the number of muffins he makes.

How many muffins must he make for the total cost per muffin to be at most $1.25?

Write an equation that gives Lacy’s average monthly cost c(m) of owning the cell phone as a function of the number of months m she owns it.

Find Lacy’s average monthly cost after she has owned the phone for 2 months.

Why is her monthly cost after 2 months so high?

Desmos Time:For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?Take a screen shot of your Desmos work and paste it in the Show Your Work.

If Lacy owns the phone for 3 years before buying a new one, what is her average monthly cost over her ownership period?

Desmos Time:

For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?

Take a screen shot of your Desmos work and paste it in the Show Your Work.

Desmos Time:

For how many months must Lacy own the phone in order for her average monthly cost to fall to $60?

Take a screen shot of your Desmos work and paste it in the Show Your Work.