Question

How do you find the end behavior of `f(x) = -2(x-1)(x+3)^3`?

Answer 1

`"see explanation"`

Explanation:

`"To determine the end behaviour we only require to"`
`"consider the term of highest degree, that is the leading"`
`"term in standard form"`

`"multiply the terms of highest degree from each factor"`

`-2(x)(x^3)=-2x^4`

`"the leading term of highest degree is "-2x^4`
`"which is of even degree with negative coefficient"`

`•color(white)(x)lim_(xto+-oo)=-oo`
graph{-2(x-1)(x+3)^3 [-80, 80, -40, 40]}