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

Explanation:

Step1: Analyze left - hand side

As (x\to-\infty), the graph of (y = f(x)) is going downwards. So, (y\to-\infty) as (x\to-\infty).

Step2: Analyze right - hand side

As (x\to+\infty), the graph of (y = f(x)) is going upwards. So, (y\to+\infty) as (x\to+\infty).

Answer:

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