Question

question #1 determine the end - behavior for the following function. as x→∞, f(x)→−∞. as x→−∞, f(x)→∞. as x→∞, f(x)→∞. as x→−∞, f(x)→−∞. as x→∞, f(x)→∞. as x→−∞, f(x)→∞. as x→∞, f(x)→−∞. as x→−∞, f(x)→−∞.

Explanation:

Step1: Observe right - hand end behavior

As \(x\) approaches positive infinity (\(x
ightarrow\infty\)), looking at the right - hand side of the graph, the function values are going downwards. So \(f(x)
ightarrow-\infty\) as \(x
ightarrow\infty\).

Step2: Observe left - hand end behavior

As \(x\) approaches negative infinity (\(x
ightarrow-\infty\)), looking at the left - hand side of the graph, the function values are going downwards. So \(f(x)
ightarrow-\infty\) as \(x
ightarrow-\infty\).

Answer:

As \(x
ightarrow\infty\), \(f(x)
ightarrow-\infty\). As \(x
ightarrow-\infty\), \(f(x)
ightarrow-\infty\).