Question

use the graph of the rational function to complete the following statement. as x→1⁺, f(x)→ ___. asymptotes are shown as dashed lines. the horizontal asymptote is y = - 2. the vertical asymptotes are x = - 4 and x = 1. as x→1⁺, f(x)→□

Explanation:

Step1: Analyze right - hand limit

We are looking at the behavior of the function as $x\to1^{+}$, which means we approach $x = 1$ from the right - hand side.

Step2: Observe the graph

From the graph, as we move along the curve of the function approaching $x = 1$ from values of $x$ greater than $1$, the $y$ - values of the function increase without bound.

Answer:

$\infty$