Chapter 4.4, Problem 7AYU

If, as $x$ approaches some number $c$, the values of $\left|R\left(x\right)\right|\to \infty$, then the line $x\text{ = c}$ is a ______ of the graph of $R$.

To determine

If, as $x$ approaches some number $c$, the values of $R\left(x\right)\to \infty$, then the line $x=c$ is a ________ _________ of the graph of $R$.

Answer to Problem 7AYU

Vertical asymptote.

Explanation of Solution

If, as $x$ approaches some number $c$, the values of $R\left(x\right)\to \infty$, then the line $x=c$ is a vertical asymptote of the graph of $R$.