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Coolmath Precalculus Review Calculus Preview
Lesson 21 - Graphing - Rational Functions: Limits (page 6 of 6)
---- This Precalculus review (Calculus preview) lesson explains limits at infinity on the graphs of rational functions and introduces the concepts of limits from the right and left.

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OK, let's see how you do with some graphs to know and love.  For each, draw a rough sketch and fill in the info:

f( x ) = 1 / x^2

1 As x approaches -infinity , f( x ) goes toward _____
2 As x approaches infinity , f( x ) goes toward _____
3 As x approaches 0 from the left , f( x ) goes toward _____
4 As x approaches 0 from the right , f( x ) goes toward _____

f is decreasing on ______________________

f is increasing on ______________________

 

f( x ) = 1 / x

1 As x approaches -infinity , f( x ) goes toward _____
2 As x approaches infinity , f( x ) goes toward _____
3 As x approaches 0 from the left , f( x ) goes toward _____
4 As x approaches x from the right , f( x ) goes toward _____

f is decreasing on ______________________

f is increasing on ______________________

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