question\nthe graph of ( y = f(x) ) is graphed below. what is the end behavior of ( f(x) )?\nanswer\n( circ…

question\nthe graph of ( y = f(x) ) is graphed below. what is the end behavior of ( f(x) )?\nanswer\n( circ ) as ( x \to -infty, f(x) \to infty ) and\nas ( x \to infty, f(x) \to infty )\n( circ ) as ( x \to -infty, f(x) \to -infty ) and\nas ( x \to infty, f(x) \to -infty )\n( circ ) as ( x \to -infty, f(x) \to -infty ) and\nas ( x \to infty, f(x) \to infty )\n( circ ) as ( x \to -infty, f(x) \to infty ) and
Answer
Explanation:
Step1: Analyze the left - hand end behavior
As (x\to-\infty), looking at the left - most part of the graph, the (y) - values (i.e., (f(x))) are increasing. So (f(x)\to\infty) as (x\to-\infty).
Step2: Analyze the right - hand end behavior
As (x\to\infty), looking at the right - most part of the graph, the (y) - values (i.e., (f(x))) are decreasing. 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)