Question

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

Answer 1

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

Answer 2

Refer to the Attachment.

Answer 3

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

Answer 4

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

Answer 5

Hey

Answer 6

\[y=\dfrac{2x-3}{x+4}\]

Is the function like above ?

Answer 7

Yes. That is the function

Answer 8

Start by finding the vertical asymptotes.

They are so evil. They occur when the denominator goes to 0.

Answer 9

x=-4, y=2

Answer 10

whats y=2 ?

Answer 11

setting the denominator equal to 0 gives you :


x + 4 = 0
x = -4

this is the only vertical asymptote, right ?

Answer 12

y=2 is the horizontal asymptote.

Answer 13

yes

Answer 14

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

Answer 15

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