Study Guide for Math Test2.3 Asymptotes and Rational FunctionsA rational function is a ration of polynomialsDomain is any number where function is defined so if a number makes it =0 it can’t be in thedomainSo if x=5 isn’t in domain the domain would be written as (-inf,5)u(5,inf)The values that aren’t in the domain like 5 in ex. Then that is where the vertical asymptote occursat x=5.For horizontal the asymptote is at the limit as x approaches infinity or negative inf . L is limit andhorizontal asymptote lim x->inf f(x)=L.Insert 0 for x values. Hor ass at y=L.Slant asymptote/other- long division. That answer don’t include remainder2.4 Absolute Max and MinOccur when domain is restricted [a,b], first find f’(x), then find critical values f’(x)=0, computef(x) at endpoints/critical values. Largest is max, smallest value is min. In p(x) functiondenom is[0,inf], quotient rule to find derivative,, we multiply denom out after =0, use fdt, then insert xwhich is units needed into origina; p(x) to get max money profit
