the graph of the function has a vertical asymptote of x = the graph of the function has a horizontal…
the graph of the function has a vertical asymptote of x = the graph of the function has a horizontal asymptote of y = done
Answer
Answer:
The graph of the function has a vertical asymptote of $x = 0$. The graph of the function has a horizontal asymptote of $y = 0$.
Explanation:
Step1: Find vertical asymptote
For $f(x)=\frac{1}{x}$, denominator $x = 0$ makes function undefined. So vertical - asymptote is $x = 0$.
Step2: Find horizontal asymptote
As $x\to\pm\infty$, $\lim_{x\to\pm\infty}\frac{1}{x}=0$. So horizontal - asymptote is $y = 0$.