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For the function

x-3/x^2 - 5x + 6

 

Find the points and draw the graph.

 

 

Not sure how to input this into a graphing calculator and I keep getting error messages. could someone do it for me? thank you!

 Mar 10, 2015

Best Answer 

 #3
avatar+118723 
+10

That is an expression - not an equation.  There is no equal sign.

maybe you really want

 

y=(x-3)/(x^2 - 5x + 6)      ?

If that is what you want then that is what you must input into desmos.

 

or lets look at this

 

$$\\y=\frac{(x-3)}{(x^2 - 5x + 6) }\\\\
y=\frac{(x-3)}{(x-2)(x-3) }\\\\
$You cannot divide by 0 so x is not equal to 2 or 3$\\\\
y=\frac{1}{(x-2) }\\\\
$this is a hyperbola with asymtotes at x=2 and y=0$\\\\
$however, there will also be a 'hole' at x=3$\\\\$$

 Mar 10, 2015
 #1
avatar
+5

Go to www.Desmos.com and input the equation. Be sure and use parathesis around the denominator.

 Mar 10, 2015
 #2
avatar
0

Thank you!! Does this look right??

 

https://www.desmos.com/calculator/oogo12t2dj

 Mar 10, 2015
 #3
avatar+118723 
+10
Best Answer

That is an expression - not an equation.  There is no equal sign.

maybe you really want

 

y=(x-3)/(x^2 - 5x + 6)      ?

If that is what you want then that is what you must input into desmos.

 

or lets look at this

 

$$\\y=\frac{(x-3)}{(x^2 - 5x + 6) }\\\\
y=\frac{(x-3)}{(x-2)(x-3) }\\\\
$You cannot divide by 0 so x is not equal to 2 or 3$\\\\
y=\frac{1}{(x-2) }\\\\
$this is a hyperbola with asymtotes at x=2 and y=0$\\\\
$however, there will also be a 'hole' at x=3$\\\\$$

Melody Mar 10, 2015

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