Question

The daily production cost, C, for x units is modeled by the equation:

Answer 1

Domain is the set of the values of x (produced units) that are feasible. Which is all the positive integer values and zero.

Range is the set of possible results for c(x), i.e. possible costs.

You can substitute some values for x to help you, for example:

x      y

0    200

1    200 -7 +0.345 = 193.345

2    200 - 14 + 0.345 (4) = 187.38

3    200 - 21 + 0.345(9) = 182.105

10  200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

The functions does not have real roots, then the costs never decrease to 0.

So the function starts at c(x) = 200, decreases until the vertex (x =10, c=164.5) and then starts to increase.

Also, the range goes to 164.5 to infinity, limited to the solution for x = positive integers.

Answer 2

First find the domain(the set of all first coordinates in a function) by finding where the equation(a mathematical statement that says two expressions have the same value; any number sentence with an = sign) is defined.

After that you should know what to do. I don't know how to work this problem cuz i'm barely in 9 grade. But somehow, I know this.

(−∞,∞)

{x|x∈R}

If this helped, please let me know and give me brainliest, please!!

If this is incorrect, please let me know so I can fix it!