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

##### 1 Answer

Aug 28, 2017

#### 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]}