Question

in the above graph complete the following
as ( x \to -infty ), ( f(x) \to )
as ( x \to +infty ), ( f(x) \to )

Explanation:

Step1: Analyze the left - hand behavior

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

Step2: Analyze the right - hand behavior

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

Answer:

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