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Mathematics 21 Online
OpenStudy (anonymous):

Don't get lost in the sauce ask me if you need help with anything!!!

OpenStudy (donnie1999):

don't listen 2 this guy the answers he gives r all wrong.

OpenStudy (jack1):

hi @Y.R.N. what are the y intercepts of: \(\large y=\frac{3x^3-x}{x^2-4x}\)

OpenStudy (anonymous):

@Jack1 give me one sec

OpenStudy (anonymous):

OpenStudy (anonymous):

i pluged it in and its saying there isnt any y intercepts tell me if im wrong

OpenStudy (jack1):

ur graph showed one though...?

OpenStudy (anonymous):

one sec ill explain

OpenStudy (jack1):

k

OpenStudy (anonymous):

Factor x out of 3x3−x. y=x(3x2−1)x2−4x Factor x out of x2−4x. y=x(3x2−1)x(x−4) Reduce the expression by cancelling the common factors. More Steps y=3x2−1x−4

OpenStudy (anonymous):

then you graph it and gave me that

OpenStudy (jack1):

ok... so what tho... does the graph not cross the y axis?

OpenStudy (anonymous):

you can see the points i put down at -1,0 and 1,0

OpenStudy (anonymous):

and since its a function technically it eventually will if thats what your meaning

OpenStudy (jack1):

yeah... but it cant really cross the y axis though, right? becuase a functon will cross the y axis when x = 0 and if x = 0 then x^2 - 4x = 0 =0^2 - 4*0 = 0 so we're dividing by zero... yeah? so at that point, y = infinity

OpenStudy (anonymous):

exactly

OpenStudy (anonymous):

ima need an apology from that one guy cuz that was rude af

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