Domain and Range from Data Answers

Which best describes how the reasonable domain differs from the mathematical one?

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At a grocery store, apples cost $2 per pound and oranges cost $3.50 per pound. The function representing the total cost, in dollars, for x pounds of apples and x pounds of oranges is f(x) = 5.5x. How does the mathematical domain of the function compare to the reasonable domain?

The average cost of producing a single bicycle based on the total number of bicycles produced, x, is represented by this function: Use the drop-down menus to complete the statements to show the difference between the mathematical and reasonable ranges. The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .

Complete the statements to show the difference in the mathematical and reasonable domain and range for the function. Round any decimals to the nearest integer. Mathematical range: y ≤ Reasonable range: ≤ y ≤

The growth of a population of mountain lions can be described by the function f(x) = 500(1.015)x, where x is the number of years after the first census. How do the mathematical domain and range compare to the reasonable domain and range? Check all that apply.The mathematical and reasonable domains are identical.The mathematical domain is the set of real numbers, while the reasonable domain only includes real numbers greater than or equal to 0.The mathematical domain is the set of real numbers, while the reasonable domain cannot include fractional values.The mathematical range contains all real numbers, while the reasonable range contains all real numbers greater than 0.The mathematical range has a minimum value greater than 0, while the reasonable range is limited to whole numbers and has a minimum value greater than or equal to 500.

The amount of bacteria, f(x), observed by a research scientist is represented by the function f(x) = 3x + 7, where x is the number of hours passed since initial observation.Which statement best compares the mathematical and reasonable ranges for this function?

The graph of the revenue function f(x) = –2x2 + 100x is shown to the left. In the function, revenue is dependent on the number of items sold, x. How do the mathematical and reasonable domains compare?