Question

What is the end behavior of the function `f(x)=x^2+x^4+6`?

Answer 1

`lim_(xto+oo)f(x)to+oo`

`lim_(xto-oo)f(x)to+oo`

Explanation:

`"the term with highest degree in f(x) is "x^4`

`"the degree is even and has a positive coefficient"`

`rArrlim_(xto+oo)to+oo`

`lim_(xto-oo)to+oo`
graph{x^2+x^4+6 [-40, 40, -20, 20]}