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Anikate
 one year ago
find hole, HA, SA, VA, xint, and yint. Posting question. please help.
Anikate
 one year ago
find hole, HA, SA, VA, xint, and yint. Posting question. please help.

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1omg my brain hurts... factor out the x's in the equation then xintercept occurs when y = 0 yintercept occurs when x = 0

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1how do u know those x and y ints?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1what I wrote is the definition... hmm I think you have to set y = 0 for xintercept and set x = 0 for yintercept.. x.x I'm tired

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1oh lol sorry didnt notice, im just as fried XD 1:13AM here

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1ok, after factorign out x's, what now?

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1i feel ya. u live in USA?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1you must live in the east coast. I'm 6 hours behind you

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1it's only 7:16 pm in my state

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1so how do u find hole, VA, HA, SA?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I am ... tired...so sorry @ganeshie8 take over xD

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434345612001:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2set the denominator equal to \(0\) to get VA/holes

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2First find VA/holes, show ur work so that i know u got it

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2why are you plugging in 0 in place of x ? dw:1434346170455:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2For VA/holes you simply need to set the denominator equal to 0 and solve x dw:1434346189911:dw

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1ooh waitI got it, sorry my brain is half dea. ill do the work again

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes, so x=0 and x=4 are discontinuities you need to figure out which of them are holes and VAs

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2do you know how to tell whether a discontinuity is a hole or a VA ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Okay, it is easy. look at the given rational expression dw:1434346474036:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2The factor \(\large x\) is common to both numerator and denominator. Therefore \(x=0\) is a hole

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2the factor \((x4)\) is not there in the numerator, so \(x=4\) is a VA

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1i dont understand how u got x=4 because it is not in the numerator? what does the denominator have to do with the numerator?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2do you see \(x\) is there in both numerator and denominator but \(x4\) is there only in the denominator ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Since the factor \(x\) cancels out, \(x=0\) is a hole.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Since the factor \(x4\) does not cancel out, so \(x4=0\) is a VA.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Notice that \(x4=0\) is same as \(x=4\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2basically you need to see what factors are common to both numerator and denominator for holes

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1so VA is just the denominator after the entire equation is simplified?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2so what do we have so far

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1hole: x=0 VA: X=4 SA: ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2how do you know there exists a SA ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2do you know how to tell the degree of a polynomial ?

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1the degree of the first exponent

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes, look at the given rational expression again. Degree of numerator = ? Degree of denominator = ?

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1numerator: 3 denominator: 2

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes! degree of numerator is just 1 greater than the degree of denominator so there exists a SA

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2knw how to find the SA ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2simply do long division

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2remember long division ?

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1how do i do it for this?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434348039440:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434348112918:dw

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1how do subtract the x and 12 x^2?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Oh yes, we cant subtract apples and coconuts, so we just leave it as it is : dw:1434348286262:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434348365527:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2we're done because when you subtract you will get a remainder whose degree is less than the denominator., so the SA is \[\large y=3x+12\]

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1oh cool! hot it! thanks!!

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2good, notice that there wont be any HA because the degree of numerator is high

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2what about xint and yint ?

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1ok and the xin, yint is yint: 0 xint: 0

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1@ganeshie8 is that right?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2doesn't look correct

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\(x=0\) is a hole, so there are no y intercepts.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2for x intercepts, you set y = 0dw:1434349076055:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434349091942:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434349134532:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434349181041:dw

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1so there could be infinite answers?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434349240955:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434349306136:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2the solutions when setting the numerator to 0 are : \(\large x = 0,~\frac{1}{\sqrt{3}},~\frac{1}{\sqrt{3}}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2But \(x=0\) is a hole, so discard that.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2The x intercepts are : \(\large \frac{1}{\sqrt{3}},~~\frac{1}{\sqrt{3}}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2see if that makes more or less sense

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1sorry, slow internet. so the xintercepts matters on the numerator??

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Notice, x intercepts are points on x axis so the y value will be 0

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2setting y = 0, makes the denominator vanish

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2so yes, in that sense only the numerator matters for x intercepts

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1how? can we just set x to 0 and get y=0 as an answer?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2tell me this, what exactly is an x intercept ?

Anikate
 one year ago
Best ResponseYou've already chosen the best response.1where the line on the graphs crosses the xaxis

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Exactly! when the curve intersects the x axis, the y value will be 0, yes ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434350344473:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434350374270:dw