Question 990271: What happens to the graph when you divide by "x" and why does this happen?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! when x is 0, the value of y is undefined.
this creates a hole in the graph since there is no value of y that satisfies the equation when x is equal to 0.
if the numerator is negative, then the value of y will decrease as x approaches 0.
if the numerator is positive, then the value of y will increase as x approaches 0.
here's two graphs that show you what i mean.
first graph is y = -100 / x.
look at the values of x = -10, x = 0, x = 10
when x = -10, the value on the graph is -100 / -10 which is equal to 10.
when x = 0, the value on the graph is undefined.
when x = 10, the value on the graph is -100 / 10 which is equal to -10
second graph is y = 100 / x
look at the value of x = -10, x = 0, x = 10
when x = -10, the value on the graph is 100 / -10 which is equal to -10.
when x = 0, the value on the graph is undefined.
when x = 10, the value on the graph is 100 / 10 which is equal to 10.
as the value of x gets closer to 0, the value of y gets larger and larger.
in other words, it is approaching infinity, but never quite gets there.
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