Question

How do you determine the end behavior of `f(x)=(3x^4-2x+5)/4`?

Answer 1

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

Explanation:

`"f(x)=(3x^4-2x+5)/4=3/4x^4-1/2x+5/4`

`"this is a polynomial of degree 4 with positive leading"`
`"coefficient"`

`•color(white)(x)lim_(xto+-oo)f(x)=+oo`
graph{(3x^4-2x+5)/4 [-10, 10, -5, 5]}