How do you graph y =1/(x-4)?

Jul 20, 2015

Here:
graph{1/(x-4) [-10, 10, -5, 5]}

Explanation:

The key features are:

• Vertical asymptote at $x = 4$
• $y$ tends to 0 as $x$ tends to $\pm \infty$
• $y$ is positive for $x > 4$
• $y$ is negative for $x < 4$