123456
of 6

Rational Functions - More on Limits

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 ______________________