Question

Describe the end behavior of the function using limit notation.(SHOW ALL WORK)

Answer 1

We will know the end behavior as follows:

`\lim _{x\rightarrow{\infty}}=x^4-3x^2+2=\lim _(x\rightarrow\infty)x^4+\lim _(x\rightarrow\infty)-3x^2+\lim _(x\rightarrow\infty)2`
`=\lim _(x\rightarrow\infty)x^4-3\lim _(x\rightarrow\infty)x^2+\lim _(x\rightarrow\infty)2=\infty-3(\infty)+2=\infty`
`\Rightarrow\lim _(x\rightarrow\infty)x^4-3x^2+2=\infty`