For the function above, please state the domain and range as well as the increasing or decreasing intervals. Mark on the graph if there is a local minimum/maximum and or an overall maximum/minimum. - I believe that the domain is {x|xer} and that the local maximum is just above -1, with two local minimums around (-3,4) and (3,-4). I’m just confused a bit with the other questions. Thank you!

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

if you was gonna solve for a, a is a   < -12