Answer: D: [0, ∞)
R: [0, ∞)
Step-by-step explanation:
f(x) = 1.5x
- x is the number of bottles
Domain is the x-values. The least amount of bottles you can buy is 0 and the most you can buy is infinite <em>(technically you can only buy the amount you can afford and the amount the store has to sell but for mathematical purposes you can buy an infinite amount)</em>
So, the domain (D) is x = 0 to ∞ → D: [0, ∞)
Range is the y-values. The least and most amounts are based on the domain. Since the smallest x-value is 0, input that value into the equation to solve for f(x). Similarly, input the greatest x-value to solve for f(x).
f(x) = 1.5(0)
= 0
f(x) = 1.5(∞)
= ∞
So, the range (R) is f(x) = 0 to ∞ → R: [0, ∞)
