Show that the function f(x,y) = 8x²y subject to 3x-y=9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.)Solve the constraint for y.ely =Substitute into f.f(x,y)=Determine the behavior of f as x approaches - ∞.lim f(x,y) =8118nd-a Determine the behavior of f as x approaches co.(9x lim f(x,y)=X-8udentlculus (functf(x.y)=Does this show that f does not have an absolute maximum or minimum?O YesO Nourses lecd the Gex- x0) + fyat the pointHа(...)NextShow deski4:08 AM7/15/2022 Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.)el2.Solve the constraint for y.y=0Substitute into f.f(x,y) =Determine the behavior of f as x approaches - ∞.lim f(x,y) =and-a9xtudent8118Determine the behavior of f as x approaches co.lim f(x,y) =X-8lculus (= functn f(x.y)=Does this show that f does not have an absolute maximum or minimum?O YesNourses lecd the Gex-x0) + fyat the pointC...NextShow c4:08 AM7/15/2022

Given is the function f(x,y)=8x2y and the constraint 3x-y=9. The objective is to show this function…

Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or maximum. (Hint: Solve the constraint for y and substitute into f.) Solve the constraint for y. y=0 Substitute into f. f(x,y) = Determine the behavior of f as x approaches -∞0. d-a Эх dent lim f(x,y) = 8118 Determine the behavior of f as x approaches co. lim f(x,y) = 818 Does this show that f does not have an absolute maximum or minimum? culus O Yes funct O No f(x.y)= (....