Question

1. find the end behavior of the given graph.

look at the left side of the graph look at the right side of the graph
as x approaches -∞,
as x approaches ∞,
f(x) approaches
f(x) approaches

Explanation:

Step1: Analyze the left - hand side

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

Step2: Analyze the right - hand side

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

Answer:

As \(x\) approaches \(-\infty\), \(f(x)\) approaches \(-\infty\); as \(x\) approaches \(\infty\), \(f(x)\) approaches \(\infty\).