the function $f(x)$ is defined below. what is the end - behavior of $f(x)$?\n$f(x)=9x^{2}+18x…

the function $f(x)$ is defined below. what is the end - behavior of $f(x)$?\n$f(x)=9x^{2}+18x - 315$\nanswer\nas $x\\to -\\infty,y\\to -\\infty$ and as $x\\to\\infty,y\\to\\infty$\nas $x\\to -\\infty,y\\to\\infty$ and as $x\\to\\infty,y\\to\\infty$\nas $x\\to -\\infty,y\\to -\\infty$ and as $x\\to\\infty,y\\to -\\infty$\nas $x\\to -\\infty,y\\to\\infty$ and

the function $f(x)$ is defined below. what is the end - behavior of $f(x)$?\n$f(x)=9x^{2}+18x - 315$\nanswer\nas $x\\to -\\infty,y\\to -\\infty$ and as $x\\to\\infty,y\\to\\infty$\nas $x\\to -\\infty,y\\to\\infty$ and as $x\\to\\infty,y\\to\\infty$\nas $x\\to -\\infty,y\\to -\\infty$ and as $x\\to\\infty,y\\to -\\infty$\nas $x\\to -\\infty,y\\to\\infty$ and

Answer

Explanation:

Step1: Identify the degree and leading coefficient

The function $f(x)=9x^{2}+18x - 315$ is a quadratic function. The degree $n = 2$ (even) and the leading coefficient $a=9$ (positive).

Step2: Determine end - behavior rules

For a polynomial function $y = a x^{n}+...$, when $n$ is even and $a>0$, as $x\to-\infty$, $y\to+\infty$ and as $x\to+\infty$, $y\to+\infty$.

Answer:

as $x\to-\infty,y\to\infty$ and as $x\to\infty,y\to\infty$