Questions: The graph of y=f(x) is graphed below. What is the end behavior of f(x)?

Transcript text: The graph of $y=f(x)$ is graphed below. What is the end behavior of $f(x)$ ? Answer

Solution

Step 1: Identify the end behavior of the graph

Observe the graph of the function $ f(x) $ as $ x $ approaches positive and negative infinity.

Step 2: Analyze the left end behavior

As $ x $ approaches negative infinity ($ x \to -\infty $), the graph of $ f(x) $ goes downwards, indicating that $ f(x) \to -\infty $.

Step 3: Analyze the right end behavior

As $ x $ approaches positive infinity ($ x \to \infty $), the graph of $ f(x) $ goes upwards, indicating that $ f(x) \to \infty $.

As $ x \to -\infty $, $ f(x) \to -\infty $.
As $ x \to \infty $, $ f(x) \to \infty $.

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