which statements are true regarding the asymptotes of the functions? choose three correct answers. y = g(x)…

Answer:

1. $y = g(x)$ has a horizontal asymptote
2. $y = f(x)$ has a vertical asymptote
3. $y = k(x)$ has a vertical asymptote

Explanation:

Step1: Analyze $y = g(x)$

As $x\to\pm\infty$, $y = g(x)$ approaches a constant value, so it has a horizontal asymptote.

Step2: Analyze $y = f(x)$

The graph of $y = f(x)$ has a break - like behavior where the function shoots to $\pm\infty$ at a certain $x$ - value, indicating a vertical asymptote.

Step3: Analyze $y = k(x)$

The graph of $y = k(x)$ has a similar break - like behavior where the function goes to $\pm\infty$ at a particular $x$ - value, meaning it has a vertical asymptote.