# How do you graph f(x)=3/x+1 using holes, vertical and horizontal asymptotes, x and y intercepts?

gaby131o 2022-09-18 Answered
How do you graph $f\left(x\right)=\frac{3}{x}+1$ using holes, vertical and horizontal asymptotes, x and y intercepts?
You can still ask an expert for help

Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Available 24/7
• Math expert for every subject
• Pay only if we can solve it

## Answers (1)

Wischarm1q
Answered 2022-09-19 Author has 5 answers
y axis intercepts occur when x=0. x=0 is undefined for this function, so no y intercept.
x axis intercepts occur when y=0:
$\frac{3}{x}+1=0⇒x=-3$
Coordinate: (−3,0)
as $x\to \infty$, $888\frac{3}{x}+1\to 1$
as $x\to -\infty$ , $888\frac{3}{x}+1\to 1$
The line y=1 is a horizontal asymptote.
as $x\to {0}^{+}$ , $888\frac{3}{x}+1\to \infty$
as $x\to {0}^{-}$, $888\frac{3}{x}+1\to -\infty$
The line x=0 is a vertical asymptote.
###### Not exactly what you’re looking for?

Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Available 24/7
• Math expert for every subject
• Pay only if we can solve it