Determine the Domain and Range of a Linear Function

If I join the gym for a start up fee of $40 and monthly fee of $10,  what is the range?

• -4, -3, -2, -1, 0.....
• $10, $20, $30, $40......
• 0, 1, 2, 3..... 
• $40, $50, $60.....

John hits a fly ball into the air. The ball reaches a maximum height of 200 ft after 4 seconds. What is a reasonable domain of the fly ball?

• All real numbers between 0 feet and 200 feet
• All real numbers between 0 feet and 400 feet
• All real numbers between 0 seconds and 4 seconds
• All real numbers between 0 seconds and 8 seconds

Gracie's service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. Which best represents the domain?

• 1000 ≤ x ≤ 0

• x ≥ 1000

• 0 ≤ x ≤ 1000

• x ≤ 3000

• { 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

• y ≥ 0

• { 1, 2, 3}

• {0, 1, 2, 3}

• 0 ≤ y ≤ 3

• x ≥ 0
• x ≤ 7
• 0 ≤ x ≤ 7
• { 0,1, 2, 3, 4, 5, 6, 7 }

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

• 0 ≤ x ≤ 350

• 0 ≤ y ≤ 14

• 0 ≤ y ≤ 350

• 0 ≤ x ≤ 14

The height of a toy rocket over time is shown on the graph. What is the range of the function?

• 0 ≤ h ≤ 3

• 0 ≤ h ≤ 36

• h < 3

• t ≤ 36

The total cost of renting a banquet hall is a function of the number of hours the hall is needed. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee. What is the greatest value in the range for this situation?

• 135

• 50

• 4

• 730

Erica received a $20 gift card to Starbucks. The table below shows the relationship between the purchases made and the money left on the card. What does the domain represent?

• Number of White Chocolate Mochas purchased

• The amount of money left on the card