Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equ
ipment will cost $1200. Henry orders 600 shirts and determines that the profit for his new business is modeled by the function P = 22x - 1200. What is the domain of this function in this context?
A) all real numbers
B) {0 ≤ x ≤ 600}
C) {0 ≥ x ≥ 600}
D) {-1,200 ≤ P ≤ 2,000}
<span>Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200
We are given a profit function in terms of x where x is the number of shirts ordered as follows:
Now, we know that the domain of a function are the possible values of the independent variable for which a function is defined i.e. the possible values of x for which P is defined.
x has to be greater than equal to 0.
i.e. either none of the t-shirts are ordered or some.
What are the key aspects of the graph of f(x) = x2 - b2, where b is a real number? The graph will have opposite x-intercepts of b and -b and be symmetrical about the y-axis. The graph will have a y-intercept at b2.