Question

question the graph of y = f(x) is graphed below. what is the end - behavior of f(x)?

Explanation:

Step1: Analyze left - hand end behavior

As \(x\to-\infty\), we look at the left - most part of the graph. The graph is going down, so \(y = f(x)\to-\infty\) as \(x\to-\infty\).

Step2: Analyze right - hand end behavior

As \(x\to+\infty\), we look at the right - most part of the graph. The graph is going down, so \(y = f(x)\to-\infty\) as \(x\to+\infty\).

Answer:

As \(x\to-\infty\), \(f(x)\to-\infty\) and as \(x\to+\infty\), \(f(x)\to-\infty\)