Question

Question number 7 Give a reasonable domain and range for the function in this context

Answer 1

Answer: D: [0, ∞)  

              R: [0, ∞)

Step-by-step explanation:

f(x) = 1.5x

• x is the number of bottles

• f(x) is the cost

Domain is the x-values.  The least amount of bottles you can buy is 0 and the most you can buy is infinite (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)

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, ∞)