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

question\nthe graph of ( y = f(x) ) is graphed below. what is the end behavior of ( f(x) )?\nanswer\n( mathrm{as} x\to-infty,y\toinfty ) and\n( mathrm{as} x\toinfty,y\to-infty )\n( mathrm{as} x\to-infty,y\to-infty ) and\n( mathrm{as} x\toinfty,y\toinfty )\n( mathrm{as} x\to-infty,y\to-infty ) and\n( mathrm{as} x\toinfty,y\to-infty )\n( mathrm{as} x\to-infty,y\toinfty ) and
Answer
Explanation:
Step1: Analyze the left - hand end behavior
As (x\to-\infty), observe the graph. The graph is going upwards. So, as (x\to-\infty), (y\to\infty).
Step2: Analyze the right - hand end behavior
As (x\to\infty), observe the graph. The graph is going downwards. So, as (x\to\infty), (y\to-\infty).
Answer:
As (x\to-\infty,y\to\infty) and as (x\to\infty,y\to-\infty) (the first option).