Final answer:
The values in the function's domain are 0, 1, 2, 3, 4, 5, and 6.
Step-by-step explanation:
The function in this scenario represents the total cost of the cable bill per month. The function is made up of two parts: a constant term ($150) and a variable term ($4 multiplied by the number of pay-per-view movies).
Let's suppose the number of pay-per-view movies is represented by the variable 'x'. The equation for the function would be: f(x) = 4x + 150.
To find the values in this function's domain, we need to determine the possible values for 'x'. However, we also have a constraint that the total cost can't exceed $175. So, we need to find the values of 'x' that satisfy this constraint.
To do this, we can set up an inequality: 4x + 150 ≤ 175.
Simplifying the inequality, we get: 4x ≤ 25.
Dividing both sides of the inequality by 4, we get: x ≤ 6.25.
Since the number of pay-per-view movies cannot be a decimal or fraction, we round down to the nearest whole number. Therefore, the values in this function's domain are 0, 1, 2, 3, 4, 5, and 6.