Wednesday, September 16, 2009
help please
i know this might sound weird but i know how to solve for discontinuities but i do not know how to identify them in a problem. For example, i might take the derivative of a function and get intervals but find out later there was a discontinuity i didn't see. Can someone explain to me how you can tell when there are discontinuities in the problems we are working now.
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really, the only time you need to find and
ReplyDeletestate disc. is when they ask you to.
as far as finding them, if you have your
notes from last year it explains it quite
clearly.
removeables: factor the top and bottom of the given equation. if you get factors that match then there is a removeable at x=that value.
vertical asymptotes: factor and cross out
the like factors, then set the bottom = 0.
what ever that answer is is where your
vertical asymptote is.
horizontal asymptotes: i think these are
the easiest..
there's three rules.
1. the degree of top is bigger=no asymptote.
2. degree of the bottom is bigger than the top=horizontal asymptote at y=0
3. degree of the top is equal, divide the coefficients and the asymptote is at whatever
y value you get.
To find if there is a removeable you factor both the top and the bottom of the equation. If any of the factors are the same, then there is a removeable at x=that value. we did that in advanced math. if you have those notes you can look over them. To find horizontal asymptotes, you use your three rules we learned in adv math.if the degree of top is bigger, then there is none.
ReplyDeleteif the degree of the bottom is bigger than the top, then there is one at y=0
if the degree of the top is equal, divide the coefficients of each and there is one at y=that value.
You also need to look for them in the first and second derivative test after you set = 0.
ReplyDelete