Domain and Range of Number Set

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

• 0 < u < 12

• 0 < c < 425.65

• {8, 9, 10, 11, 12}

• {285.85, 320.80, 355.75, 390.70, 425.65}

A student rode a bike from school to a recreation center. The graph shows the student's distance in miles from the recreation center after riding the bike for x minutes.

What is the range of the function for this situation?

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers greater than or equal to 0 and less than or equal to 9

• All real numbers less than or equal to 28

• All real numbers less than or equal to 9

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lbs. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

What is the range of the function for this situation?

• {0, 1, 2, 3, 4, 5, 6}

• (4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?

• 
• 
• 
• 

The table shows some ordered pairs that belong to the quadratic function h. What is the range of h?

• All real numbers

• All real numbers greater than or equal to -7

• All real numbers greater than or equal to -8

• All real numbers greater than or equal to 0

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

• 
• 
• 
• 

What is the domain of f(x) = 9 - x²?

• 
• All real numbers

• 
• 

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

• 
• 
• 
• 

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

• The range is the set of all real numbers less than 0.

• The domain is the set of all real numbers greater than -4.

• The range is the set of all real numbers greater than 0.

• The domain is the set of all real numbers less than -4.

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid.

Which inequality best represents the range of f in this situation?

• 
• 
• 
•