SOLUTION: how do I graph {{{x^2- 9/x + 3}}} and {{{x^2 - x - 6/3}}} how do I explain on a graph

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Question 252405: how do I graph x%5E2-+9%2Fx+%2B+3
and x%5E2+-+x+-+6%2F3
how do I explain on a graph

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the first equation:
x%5E2-+9%2Fx+%2B+3
Notice the variable in the denominator. We don't like these there and want to know where the function can't exist. Set the denominator not = 0 and solve. In this case, X not = 0. This gives us a vertical asymptote at x = 0.From here we create a table of values.
(X,Y): (-2,11.5), (-1, 13) (1,-.5) (2,2.5) (3,9) (4,16.5)
Notice the graph is a hyperbola.
Here is the second equation
x%5E2+-+x+-+6%2F3
Since there are no restrictions on X, we go right to a table of values.
(X,Y): (-3,10)(-2,4) (-1,0) (0,-2) (1,-2) (2,0) (3,4)
Notice this graph is a parabola.
Now I am not sure if you wanted to know where they crossed, if at all?
They would cross at x+=+%28-5+%2B-+sqrt%2861%29%29%2F2