which two limits below indicate the end - behavior of the rational function above?\nlim_{x->\\infty}f(x)=-\\i…

which two limits below indicate the end - behavior of the rational function above?\nlim_{x->\\infty}f(x)=-\\infty; lim_{x->-\\infty}f(x)=-\\infty\nlim_{x->\\infty}f(x)=-\\infty; lim_{x->-\\infty}f(x)=\\infty\nlim_{x->\\infty}f(x)=\\infty; lim_{x->-\\infty}f(x)=-\\infty\nlim_{x->\\infty}f(x)=\\infty; lim_{x->-\\infty}f(x)=\\infty

which two limits below indicate the end - behavior of the rational function above?\nlim_{x->\\infty}f(x)=-\\infty; lim_{x->-\\infty}f(x)=-\\infty\nlim_{x->\\infty}f(x)=-\\infty; lim_{x->-\\infty}f(x)=\\infty\nlim_{x->\\infty}f(x)=\\infty; lim_{x->-\\infty}f(x)=-\\infty\nlim_{x->\\infty}f(x)=\\infty; lim_{x->-\\infty}f(x)=\\infty

Answer

Explanation:

Step1: Analyze right - hand end - behavior

As (x\to+\infty), looking at the graph, the function (y = f(x)) approaches positive infinity. So (\lim_{x\to+\infty}f(x)=\infty).

Step2: Analyze left - hand end - behavior

As (x\to-\infty), looking at the graph, the function (y = f(x)) approaches negative infinity. So (\lim_{x\to-\infty}f(x)=-\infty).

Answer:

(\lim_{x\to+\infty}f(x)=\infty;\lim_{x\to-\infty}f(x)=-\infty)