SOLUTION: Draw the graph of x=2 divided by x substract by 4 shows the asymptotes

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Question 985897: Draw the graph of x=2 divided by x substract by 4 shows the asymptotes
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume is is y=2/(x-4)
Vertical asymptote ix x=4 (vertical).
as x approaches 4 from the positive side, y goes to + oo horizontal asymptotes are 0
as x approaches 4 from the negative side, y god to - oo
when x=0, y= -1/2
as x goes to + oo, y goes to 0 from positive
as x goes to -oo, y goes to 0 from negative

graph%28300%2C300%2C-20%2C20%2C-20%2C20%2C2%2F%28x-4%29%29
If it is y=(2/x)-4
Vertical asymptote is 0 with the same shape as above, although the y-intercept is -4.5. The graph is shifted down 4 units. Horizontal asymptotes are -4.
graph%28300%2C300%2C-20%2C20%2C-20%2C20%2C%282%2Fx%29-4%29