the graph of y = f(x) is graphed below. what is the end - behavior of f(x)? answer as x→−∞, f(x)→−∞ and as…

the graph of y = f(x) is graphed below. what is the end - behavior of f(x)? answer as x→−∞, f(x)→−∞ and as x→∞, f(x)→∞ as x→−∞, f(x)→−∞ and as x→∞, f(x)→−∞ as x→−∞, f(x)→∞ and as x→∞, f(x)→∞
Answer
Explanation:
Step1: Analyze left - hand end behavior
As (x) approaches (-\infty), we observe the graph going downwards. So, (f(x)\to-\infty) as (x\to-\infty).
Step2: Analyze right - hand end behavior
As (x) approaches (\infty), we see the graph going downwards. So, (f(x)\to-\infty) as (x\to\infty).
Answer:
as (x\to-\infty,f(x)\to-\infty) and as (x\to\infty,f(x)\to-\infty)