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\toinfty,f(x)\to-infty ) and\nas ( x\to-infty,f(x)\to-infty )\n( circ ) as ( x\toinfty,f(x)\toinfty ) and\nas ( x\to-infty,f(x)\to-infty )\n( circ ) as ( x\toinfty,f(x)\toinfty ) and\nas ( x\to-infty,f(x)\toinfty )\n( circ ) as ( x\toinfty,f(x)\to-infty ) and

question\nthe graph of ( y = f(x) ) is graphed below. what is the end behavior of ( f(x) )?\nanswer\n( circ ) as ( x\toinfty,f(x)\to-infty ) and\nas ( x\to-infty,f(x)\to-infty )\n( circ ) as ( x\toinfty,f(x)\toinfty ) and\nas ( x\to-infty,f(x)\to-infty )\n( circ ) as ( x\toinfty,f(x)\toinfty ) and\nas ( x\to-infty,f(x)\toinfty )\n( circ ) as ( x\toinfty,f(x)\to-infty ) and

Answer

Explanation:

Step1: Analyze the right - hand end behavior

As (x) approaches (+\infty) (moving to the right along the (x) - axis), we look at the direction of the graph. The graph of (y = f(x)) goes up. So, as (x\to+\infty), (f(x)\to+\infty).

Step2: Analyze the left - hand end behavior

As (x) approaches (-\infty) (moving to the left along the (x) - axis), the graph of (y = f(x)) goes down. 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) (the second option in the given choices).