Question

1. find the end behavior of the given graph. as ( x \to -infty ), ( f(x) \to ) as ( x \to infty ), ( f(x) \to )

Explanation:

Step1: Analyze the left - hand end behavior

As \(x\) approaches \(-\infty\), we look at the left - most part of the graph. The graph is going upwards. So, as \(x\to-\infty\), \(f(x)\to+\infty\).

Step2: Analyze the right - hand end behavior

As \(x\) approaches \(+\infty\), we look at the right - most part of the graph. The graph is going downwards. So, as \(x\to+\infty\), \(f(x)\to-\infty\).

Answer:

As \(x\to-\infty\), \(f(x)\to+\infty\); As \(x\to+\infty\), \(f(x)\to-\infty\)