Graph the following system of inequalities and specify the

Chapter 10, Problem 35

(choose chapter or problem)

Graph the following system of inequalities and specify the vertices. A formula such as (1) defines a function of two variables. The inputs for such a function are ordered pairs (x, y) of real numbers. For example, using the ordered pair (3, 5) as an input, we have f13, 52 12132 5 1 12So the input (3, 5) yields an output of We define the domainfor this function just as we did in Chapter 3: The domainis the set of all inputs that yield real-number outputs. For instance,the ordered pair (1, 4) is not in the domain of the functionwe have been discussing, because (as you should check foryourself) f(1, 4) which is not a real number. We candetermine the domain of the function in equation (1) by requiringthat the quantity under the radical sign be nonnegative. Thuswe require that 2x y 1 0 and, consequently, y 2x 1.(Check this.) The following figure shows the graph of this inequality;the domain of our function is the set of ordered pairsmaking up the graph. In Exercises 36 41, follow a similar procedureand sketch the domain of the given function.3