Question 1085281
{{{f(x) = 2x^2 (1+3x-x^2)}}}

{{{f(x) = -2x^4+6x^3+2x^2}}}



Since leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is {{{-2x^4}}}, then degree is {{{4}}}, i.e. even, and leading coefficient is {{{-2}}}, i.e. negative.

This means that {{{f(x)->-infinity}}} as {{{x->-infinity}}}and {{{f(x)-> -infinity}}}as {{{x-> infinity}}}.


{{{ graph( 600, 600, -30, 30, -30, 30, -2x^4+6x^3+2x^2) }}}