Question

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drag and drop the correct words or expressions to complete the statement

• as ( x

ightarrow-infty ),

• as ( x

ightarrow infty ),
( # f(x)
ightarrow infty quad # f(x)
ightarrow 4 quad # f(x)
ightarrow 0 quad # f(x)
ightarrow-infty )

Explanation:

Step1: Analyze the graph's direction as \(x\to-\infty\)

Looking at the arrow direction on the graph, when \(x\) approaches \(-\infty\), the function values are going downwards. So \(f(x)\to-\infty\) as \(x\to-\infty\).

Step2: Analyze the graph's direction as \(x\to\infty\)

When \(x\) approaches \(\infty\), the function values are going downwards. So \(f(x)\to-\infty\) as \(x\to\infty\).

Answer:

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