use the graph to answer the question. describe the end behavior of the graphed function. (1 point)…

use the graph to answer the question. describe the end behavior of the graphed function. (1 point) $f(x)\\to2$ as $x\\to-\\infty$ and $f(x)\\to\\infty$ as $x\\to\\infty$ $f(x)\\to-\\infty$ as $x\\to2$ and $f(x)\\to\\infty$ as $x\\to\\infty$ $f(x)\\to2$ as $x\\to-\\infty$ and $f(x)\\to\\infty$ as $x\\to4$ $f(x)\\to-\\infty$ as $x\\to-\\infty$ and $f(x)\\to\\infty$ as $x\\to\\infty$

use the graph to answer the question. describe the end behavior of the graphed function. (1 point) $f(x)\\to2$ as $x\\to-\\infty$ and $f(x)\\to\\infty$ as $x\\to\\infty$ $f(x)\\to-\\infty$ as $x\\to2$ and $f(x)\\to\\infty$ as $x\\to\\infty$ $f(x)\\to2$ as $x\\to-\\infty$ and $f(x)\\to\\infty$ as $x\\to4$ $f(x)\\to-\\infty$ as $x\\to-\\infty$ and $f(x)\\to\\infty$ as $x\\to\\infty$

Answer

Explanation:

Step1: Analyze the left - hand end behavior

As (x\to-\infty), we observe the graph. The (y) - values of the function approach a horizontal line (y = 2). So, (f(x)\to2) as (x\to-\infty).

Step2: Analyze the right - hand end behavior

As (x\to+\infty), we look at the graph. The (y) - values of the function keep increasing without bound. So, (f(x)\to+\infty) as (x\to+\infty).

Answer:

(f(x)\to2) as (x\to-\infty) and (f(x)\to\infty) as (x\to\infty)