Describe the left-hand and right-hand behavior of the graph: f(x)=ax^4-bx^2+cx-d if a0
As x- infinite f(x)-
As x- -infinite f(x)-

Question

Describe the left-hand and right-hand behavior of the graph: f(x)=ax^4-bx^2+cx-d if a>0
As x-> infinite f(x)->
As x-> -infinite f(x)->

ryan123345 · Answer

Hey there! I see that you are new to openstudy. This is a great website on getting help with questions of any subject. It is a fun way of learning! I wish you good luck on openstudy and dont forget to read the http://openstudy.com/code-of-conduct so you know the rules and regulations :) Hope you have fun!

anonymous · Answer

I'm probably a little fuzzy on this, but I seem to recall that the key is in the sign of the a-term, and with the "odd or even-ness" of the variable with the largest degree.  In this case, since a is positive, I would say that the graph rises to the right as x -> infinity, and since the degree is 4 (even) then it would also "rise to the left" (<--I hate using that expression) as x -> -infinity.