Chapter 8.3, Problem 38PPSE

Solution

To identify: The vertical and horizontal asymptotes of the given graph shown below:

  

Vertical asymptote: None, Horizontal asymptotes: $y=0$ .

Given information:

The given graph is shown below:

  

Explanation:

Consider the given graph.

Asymptotes are lines that a curve approaches as it approaches infinity.

The given graph has no vertical asymptotes because the graph is continuous everywhere and graph does not curve or bend vertically.

Observe that for $x\to \pm \infty$ the graph tending to zero.

Thus, the horizontal asymptotes is $y=0$ .