Question

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

Explanation:

Step1: Analyze left end behavior

As \( x \to -\infty \), observe the direction of the graph. The left end of the graph (as \( x \) becomes very negative) is going downwards, so \( f(x) \to -\infty \).

Step2: Analyze right end behavior

As \( x \to +\infty \), observe the direction of the graph. The right end of the graph (as \( x \) becomes very positive) is going upwards, so \( f(x) \to +\infty \).

Answer:

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