Question

How do you sketch the general shape of `f(x)=x^3-4x^2+2` using end behavior?

Answer 1

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

Explanation:

`"to obtain the general shape of a polynomial using end"`
`"behaviour consider the degree and leading coefficient"`
`"of the polynomial in standard form"`

`"here degree is odd and leading coefficient is positive"`

`• " odd degree, positive leading coefficient"`

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

`xto+oo,f(x)to+oo`
graph{x^3-4x^2+2 [-20, 20, -10, 10]}