how to graph
y=2x-3/x+4

Question

how to graph 
y=2x-3/x+4

jh99 · Answer

x=-4, y=2

I don't know what to do next. This is a hyperbola, and I don't think I can just plug in any number for x and get a random y value. I need two separate graphs. @ganeshie8

robtobey2 · Answer

Refer to the Attachment.

jh99 · Answer

@robtobey2 Thank you! 
I would like to know how you got that,,

jh99 · Answer

also, I don't understand why the graph on google is different?

ganeshie8 · Answer

Hey

ganeshie8 · Answer

$$y=\dfrac{2x-3}{x+4}$$

Is the function like above ?

jh99 · Answer

Yes. That is the function

ganeshie8 · Answer

Start by finding the vertical asymptotes.

They are so evil. They occur when the denominator goes to 0.

jh99 · Answer

x=-4, y=2

ganeshie8 · Answer

whats y=2 ?

ganeshie8 · Answer

setting the denominator equal to 0 gives you : 


x + 4 = 0
x = -4

this is the only vertical asymptote, right ?

jh99 · Answer

y=2 is the horizontal asymptote.

jh99 · Answer

yes

ganeshie8 · Answer

Oh yes. Graph them both with dotted lines. They are the lines your curve can never touch.

jh99 · Answer

Yes I already did that! I'm stuck on the next step.. how should I plug in the x's?

ganeshie8 · Answer

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