Question

How do you graph `f(x)=-x^3+3x` using zeros and end behavior?

Answer 1

`"see explanation"`

Explanation:

`"to obtain zeros solve "f(x)=0`

`rArr-x^3+3x=0`

`rArrx(3-x^2)=0`

`rArrx=0,x=+-sqrt3" are the zeroes"`

`"end behaviour of "f(x)`

`f(x)" is degree 3 (odd) with negative leading coefficient"`

`• " as "xto-oo,f(x)to+oo`

`• " as "xto+oo,f(x)to-oo`
graph{-x^3+3x [-10, 10, -5, 5]}