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

1. donnie1999

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

2. Jack1

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

3. anonymous

@Jack1 give me one sec

4. anonymous

5. anonymous

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

6. Jack1

ur graph showed one though...?

7. anonymous

one sec ill explain

8. Jack1

k

9. 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

10. anonymous

then you graph it and gave me that

11. Jack1

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

12. anonymous

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

13. anonymous

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

14. 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

15. anonymous

exactly

16. anonymous

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