Domain and Range Real Applications

The LNHS Lions stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money LNHS makes as revenue. What is the range of the situation?

• 0 < f(x) < 6

• 0 < f(x) < 2,000

• 0 < f(x) < 12,000

• 2,000 < f(x) < 12,000

Pedro is driving to Nevada. The distance d he has left to travel, based on the hours driving h, can be modeled by the function:

d(h) = 2100 - 70h

What does the 2100 tell you?

• the range maximum; it's how fast Pedro is going to drive

• the range maximum; it's how far Pedro is from Nevada at the start

• part of the domain; it's how many hours it will take to get to Nevada

• part of the domain; it's how far Pedro is from Nevada at the start

Pedro is driving to Nevada. The distance d he has left to travel, based on the hours driving h, can be modeled by the function:
d(h) = 2100 - 70h
What kind of numbers can you use for the domain here?

• all positive numbers; the hours just have to be ANY positive number

• all real numbers; the hours can literally be anything

• all positive numbers up to and including h = 30; this is because it takes 30 hours to get there (the function would stop then)

• all positive WHOLE numbers since you can't drive for part of an hour

Pedro is driving to Nevada. The distance d he has left to travel, based on the hours driving h, can be modeled by the function:

d(h) = 2100 - 70h

What kind of numbers can you use for the range here?

• all positive numbers; the miles just have to be ANY positive number

• all real numbers; the miles can literally be anything, including decimals

• the range, which is measuring miles, can be any positive real number (including decimals) up to 2100. The function stops at 2100 miles since he reaches Nevada.

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for this situation?

• {52, 105}

• {3, 4, 5, 6}

• {52, 72, 86, 105}

• {3, 4, 5, 6, 52, 72, 86, 105}

A Water tank is draining and takes a certain amount of time. Which inequality best represents the domain?

• 0 < y < 500

• 500

• 0 < x < 20

• 20

• HINT: What is the smallest x and what is the biggest?

What is the range of the function graphed in the image? HINT: range is y values. open circle no equal sign, closed circle gets the equal sign.

• {x | -2 ≤ x < 4}

• {x | -2 < x ≤ 4}

• {y | -3 < y ≤ 3}

• {y | -3 ≤ y < 3}

• { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

• { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

• y ≤ 10

• 0 ≤ y ≤ 10

x ≥ 0

• x ≥ 0

• x ≤ 7

• 0 ≤ x ≤ 7

• { 0,1, 2, 3, 4, 5, 6, 7 }

What is the domain if at least 5 but not more than 10 t-shirts are purchased? HINT: Use the table

• 5 ≤ x ≤ 10

• 35 ≤ c ≤ 65

• {5, 6, 7, 8, 9, 10}

• {35, 41, 47, 53, 59, 65}