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

1 Answer
Aug 25, 2017

Answer:

#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]}