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IM Alg2.2.18 Lesson: Graphs of Rational Functions (Part 2)

Decide if each of these equations is true or false for x values that do not result in a denominator of 0. Be prepared to explain your reasoning.

Let  be the function that gives the average cost per book , in dollars, when using an online store to print  copies of a self-published paperback book. Here is a graph of

What is the approximate cost per book when 50 books are printed? 100 books?

The author plans to charge $8 per book. About how many should be printed to make a profit?

What is the value of  when ?

How does this relate to the context?

What does the end behavior of the function say about the context?

Match each function with the graphical representation.

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Where do you see the horizontal asymptote of the graph in the expressions for the functions?

Consider the function

Predict where you think the vertical and horizontal asymptotes of  will be. Explain your reasoning.

Use graphing technology to check your prediction.