Question

for the function involving the variables listed, use your intuition or additional research, if necessary, to complete parts (a) through (c) below.

(price of gasoline, number of tourists in a national park)

a. describe an appropriate domain and range for the function.

choose the appropriate domain for the function below.

a. the domain is all realistic gasoline prices or \\$0.25 per gallon to \\$1.50 per gallon.
b. the domain is all realistic gasoline prices or \\$2 per gallon to \\$4 per gallon.
c. the domain is the numbers of tourists visiting the park or 2500 people to 15,000 people.
d. the domain is the numbers of tourists visiting the park or 0 people to 1 million people.

choose the appropriate range for the function below.

a. the range is all realistic gasoline prices or \\$0.25 per gallon to \\$1.50 per gallon.
b. the range is the numbers of tourists visiting the park or 0 people to 1 million people.
c. the range is the numbers of tourists visiting the park or 2500 people to 15,000 people.
d. the range is all realistic gasoline prices or \\$2 per gallon to \\$4 per gallon.

Explanation:

Identify independent and dependent variables

Using the Independent and Dependent Variables knowledge point

• Independent variable (input): price of gasoline
• Dependent variable (output): number of tourists in a national park

Determine the appropriate domain

Using the Domain and Range knowledge point

• Domain represents the set of possible input values (price of gasoline).
• Realistic gasoline prices are typically in the range of \$2 to \$4 per gallon.
• Therefore, the correct option is (B).

Determine the appropriate range

Using the Domain and Range knowledge point

• Range represents the set of possible output values (number of tourists).
• A national park can realistically host between 0 and 1 million people.
• Therefore, the correct option is (B).

Answer:

Question 1

• A. The domain is all realistic gasoline prices or $0.25 per gallon to $1.50 per gallon.
• B. The domain is all realistic gasoline prices or $2 per gallon to $4 per gallon. (Correct answer)
• C. The domain is the numbers of tourists visiting the park or 2500 people to 15,000 people.
• D. The domain is the numbers of tourists visiting the park or 0 people to 1 million people.

Question 2

• A. The range is all realistic gasoline prices or $0.25 per gallon to $1.50 per gallon.
• B. The range is the numbers of tourists visiting the park or 0 people to 1 million people. (Correct answer)
• C. The range is the numbers of tourists visiting the park or 2500 people to 15,000 people.
• D. The range is all realistic gasoline prices or $2 per gallon to $4 per gallon.