5. analyze the graph and find the equation of the horizontal and vertical asymptotes. choose all correct…

Answer:

Vertical Asymptote: $x=2$ Horizontal Asymptote: $y=4$

Explanation:

Step1: Identify the vertical asymptote.

Observe the graph. The curve approaches the vertical line where $x=2$ but does not cross it. As $x$ approaches 2 from the left, $y$ approaches $-\infty$. As $x$ approaches 2 from the right, $y$ approaches $+\infty$. $$x = 2$$

Step2: Identify the horizontal asymptote.

Observe the graph. As $x$ approaches positive or negative infinity, the curve approaches the horizontal line where $y=4$. $$y = 4$$