Chapter 9: Lessons

The 1/x base rational function and its transformations must be well understood, it is the base of many rational functions.

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Using transformations to plot type of functions.

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"Line Over Line" functions

Using transformations to plot "line over line" functions using the form .

See also the algebraic method to decompose the line over line into the form consistently regardless of coefficients.

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Extra Homework

Try to solve these on your own first. Use the algebraic method to decompose the functions if you are having difficulty.

Click here for solutions to check your answers.

These questions had something in common. They all had a coefficient of 1 accompanying the x in the denominator.
Here is an example where that is not the case and how to solve it.

 

Do we really need the form?

 

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