Another survey of calc ?

[shy5577]

Fo this function g(x) = 2/x+5

I need to:
sketch the curve
indicate vertical and/or horizontal asymtotes
x-and y- intercepts

without too much detail (because I don't know how to use a lot of things on here) here's what I got.

vertical asym. x=4
horizonta asym y=0
no x intercept
y intercept (0, -1/2)

Someone pls tell me if I'm right. Sorry to sound dumb but I have no clue when it comes to math plus my prof. is horible.
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[soroban]

Hello, shy5577!

You have typo, right? . . . It's $\displaystyle x-4$, not $\displaystyle x+5$

For this function $\displaystyle g(x)\:=\:\frac{2}{x\,-\,4}$

Sketch the curve
Indicate vertical and/or horizontal asymtotes
Find x-and y- intercepts

Without too much detail, here's what I got:

Vertical asymptote: $\displaystyle x\,=\,4$
Horizontal asymptote: $\displaystyle y\,=\,0$
No x intercept
y intercept: $\displaystyle (0, -\frac{1}{2})$

Looks perfect to me!

 

[shy5577]

Thank you soroban

Oops! You're absolutely right. It was a typo.

Thank you!