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anonymous
 one year ago
Graph f(x)=x^23x10/x2.
Find the domain, range, VA, HA/SA
anonymous
 one year ago
Graph f(x)=x^23x10/x2. Find the domain, range, VA, HA/SA

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.1is it \[\frac{x^23x10}{x2}\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1ok lets do them one at a time

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1domain is easy enough, set the denominator equal to zero and solve then say "all real numbers except that one"

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1what do you get for that? (you can do it in your head)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1yeah so all numbers except 2

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1now before we continue, lets make sure this is not a trick question can you factor the numerator and cancel?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1hmmi think it does factor, but not cancel !

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1yeah but nothing cancels, so lets continue but you should always check that first

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1once we have the domain, we also have the vertical asymptote too

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1the vertical asymptote is a vertical line, not a number

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1so you want to return and answer of \(x=2\) the vertical line, not just the number 2

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1now for the horizontal asympote the degree of the numerator is ?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1and the denominator?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is no horizontal then since it's greater than the denom.

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1but the degree of the numerator is one more than the degree of the denominator that means there will be a slant asymptote do you know how to find it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I never learned about a slant asymptote so I dont know :(

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1ok it is easy to say what to do , but not easy for me to write in one word "divide"

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1when you divide a polynomial of degree 2 by a polynomial of degree 1 you get a polynomial of degree 1 ( a line) and a remainder ignore the remainder, the line is the slant asymptote

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you can use either long division or (much easier) synthetic division do you know how to do that?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1whew like i said it is very hard for me to write division here what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did it in a rush so I got x^21x6.

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1hmm no you should have a polynomial of degree 1, not a quadratic

misty1212
 one year ago
Best ResponseYou've already chosen the best response.11 3 10 2 ______________ 1

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1that is the iniital set up then 1 3 10 2 2 ______________ 1 1

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1the next line is unimportant since we only need the line, not the remainder the line has the coefficients from the final row so \(x1\) slant asymptote is \(y=x1\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh! Now I know what I did wrong! When did the fak divison, i fogot to add the "0^2" Lol but yes, I know understand

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1ok then we are done!

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1oh except for the range

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm so bad at finding that.

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1in this case it is real easy, since it has a vertical asympote and no horizontal asymptote that means it goes from \(\infty\) to \(\infty\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you can write your answer as an interval \((\infty, \infty)\) or just say "all real numbers"

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1it is harder for some other ones, but not for this one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yay! Thanks so much:)))

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1\[\color\magenta\heartsuit\]
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