Domain and Range from Data Answers

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

A
The reasonable domain contains only positive integers.
B
The reasonable domain does not contain rational numbers.
C
The reasonable domain does not contain negative values.
D
The reasonable domain contains only multiples of 12.
145804
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The average cost of producing a single bicycle based on the total number of bicycles produced, x, is represented by this function:

Answers:
The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .:30,800
The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .:800
145805

801 30,000 ✔ 30,80024,000,000

A
801
B
30,000
C
✔ 30,800
D
24,000,000
145806

whole numbers X rational numbers integers ✔ real numbers

A
whole numbers
B
X rational numbers
C
integers
D
✔ real numbers
145807

0 ✔ 80030,800

A
0
B
✔ 800
C
30,800
145950

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?

A
The mathematical domain includes all real numbers, while the reasonable domain includes only whole number values.
B
The mathematical domain includes all real numbers, while the reasonable domain includes only rational values greater than or equal to 0.
C
The mathematical domain includes real numbers greater than or equal to 0, while the reasonable domain includes only whole number values.
D
The mathematical domain includes real numbers greater than or equal to 0, while the reasonable domain includes only rational values greater than or equal to 0.
145951

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.

A
The mathematical and reasonable domains are identical.
B
The mathematical domain is the set of real numbers, while the reasonable domain only includes real numbers greater than or equal to 0.
C
The mathematical domain is the set of real numbers, while the reasonable domain cannot include fractional values.
D
The mathematical range contains all real numbers, while the reasonable range contains all real numbers greater than 0.
E
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.
145952

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?

A
The mathematical and reasonable ranges are all real numbers. Both the mathematical and reasonable ranges have an unknown upper limit.
B
The mathematical range is all real numbers greater than 7. The reasonable range is whole numbers greater than or equal to 8, with an unknown upper limit.
C
The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers. Both the mathematical and reasonable ranges have an unknown upper limit.
D
The mathematical range is all real numbers greater than or equal to 7. The reasonable range is whole numbers greater than 8, with an unknown upper limit.
145953

The average cost of producing a single bicycle based on the total number of bicycles produced, x, is represented by this function:

Answers:
The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .:rational numbers
The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .:30,800
The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .:real numbers
The reasonable range includes the set of , where 800 < y ≤ , while the mathematical range includes the set of and only excludes the value .:800

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