A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells xx shirts can be found using the function f, of, x, equals, 6, x, minus, 70, .f(x)=6x−70. Find and interpret the given function values and determine an appropriate domain for the function.
To find and interpret the given function values, we can plug in different values for x into the function f(x) = 6x - 70.
For example:
- When x = 0, f(0) = 6(0) - 70 = -70. This means that if the company doesn't sell any shirts, they will have a profit of -$70.
- When x = 10, f(10) = 6(10) - 70 = 60. This means that if the company sells 10 shirts, they will have a profit of $60.
- When x = 20, f(20) = 6(20) - 70 = 70. This means that if the company sells 20 shirts, they will have a profit of $70.
To determine an appropriate domain for the function, we need to consider the context of the problem. In this case, the domain should represent the possible number of shirts that the company can sell. Since the number of shirts sold cannot be negative, the domain should be all non-negative integers. Therefore, the appropriate domain for the function f(x) = 6x - 70 is x ≥ 0.