Question

question 12 the graph of $y = f(x)$ is graphed below. what is the end behavior of $f(x)$?

Explanation:

Step1: Analyze left end behavior

Observe the graph as \( x \to -\infty \). The left - most part of the graph (as \( x \) becomes very small, i.e., \( x\to-\infty\)) is moving upwards, so as \( x\to-\infty\), \( f(x)\to+\infty\).

Step2: Analyze right end behavior

Observe the graph as \( x \to +\infty \). The right - most part of the graph (as \( x \) becomes very large, i.e., \( x\to+\infty\)) is moving downwards, so as \( x\to+\infty\), \( f(x)\to-\infty\).

Answer:

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