I don't understand when and how you are suppose to check for discontinuities. I know we learned how to in advanced math, but I was looking over those notes and I'm still confused on it.
Well...I'm not sure what you mean by when you need to use them...except for when they ask for any discontinuties.
But I can help you with how to do them.
To find if there is a removeable: 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.
To find if there is a vertical asymtptote: after doing the above and crossing out and like factors, whatever is left on the bottom of the fraction is set equal to 0. this is where there is a vertical asymptote.
To find horizontal asymptotes, you use your three rules: if the degree of top is bigger, then there is none. if 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.
John, you seem like a good person to ask this: what is the best method to study and memorize math? For example, above, (which might I add, I need to copy down) if I studied that for a day for a test the next day, I might be able to get some. How do YOU personally remember all of the little differences. I think that's one of my problems, I can't remember how to do something or that this term goes with this step, not this step. Do you know what I mean? I've always had trouble with studying math =/
Well...I'm not sure what you mean by when you need to use them...except for when they ask for any discontinuties.
ReplyDeleteBut I can help you with how to do them.
To find if there is a removeable: 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.
To find if there is a vertical asymtptote: after doing the above and crossing out and like factors, whatever is left on the bottom of the fraction is set equal to 0. this is where there is a vertical asymptote.
To find horizontal asymptotes, you use your three rules:
if the degree of top is bigger, then there is none.
if 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.
Hope that helps :-)
John, you seem like a good person to ask this: what is the best method to study and memorize math? For example, above, (which might I add, I need to copy down) if I studied that for a day for a test the next day, I might be able to get some. How do YOU personally remember all of the little differences. I think that's one of my problems, I can't remember how to do something or that this term goes with this step, not this step. Do you know what I mean? I've always had trouble with studying math =/
ReplyDelete