The daily production cost, C, for x units ismodeled by the equationC = 200- 74 +0.34572Explain how to find the domain and range of C

I think the correct equation isc(x) = 200 - 7x + 0.345x^2.Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.Range is the set of possible results for c(x), i.e. possible costs.You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.You can substitute some values for x to help you, for example:x      y0    2001    200 -7 +0.345 = 193.3452    200 - 14 + .345 (4) = 187.383    200 - 21 + .345(9) = 182.1054    200 - 28 + .345(16) = 177.525    200 - 35 + 0.345(25) = 173.6256    200 - 42 + 0.345(36) = 170.4210  200 - 70 + 0.345(100) =164.511 200 - 77 + 0.345(121) = 164.745   The functions does not have real roots, then the costs never decrease to 0.The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.