Domain is the numbers you can use we can use all real numbers for this one
rangge is the numbers we get from inputting the domain
well, this is a 4th degree, so we need to find the minimum,because the leading coefient is positive so it opens up, and as x approaches negative and positive infinity, then f(x) approaches infnity
find minimum take derivitive f'(x)=4x^3-18x^2-8x+54 the zeroes are at about -1.652 and 1.9381 and 4.2145 we use a sign chart the minimum occurs at hwere the derivitive changes from negative to positive that is at -1.652 and 4.2145 evaluate f(-1.652) and f(4.2145) f(-1.652)=-110.626 f(4.2145)=-22.124 the least value is -110.626 that is the minimum
so the domain is all real numbers range is from -110.626 to infinity
