Range of Linear Function #1

A part of a linear function is shown on the grid.

What is the range of the part of the linear function shown?

Choose the correct answer from each drop-down menu to complete the sentence.

The range is the set of all real numbers _______ and _______.

• greater than -4

• less than 3

• greater than or equal to -2

• less than or equal to 2

The domain and range of a part of the linear function r are given.

x > 5

y < 2

Which graph could represent this part of the linear function r?

• Graph A

• Graph B

• Graph C

• Graph D

Each bouquet will have 9 flowers. The florist will use no more than 8 bouquets for the wedding. Which set best represents the domain of the function for this situation?

• {0, 2, 4, 6, 8, 10}

• {0, 1, 2, 3, 4, 5, 6, 7, 8}

• {0, 18, 36, 54, 72, 90}

• {0, 9, 18, 27, 36, 45, 54, 63, 72}

A coach has 96 golf balls for the school's golf team. The coach will give each player on the team 8 golf balls. The graph shows the linear relationship between y, the number of golf balls remaining for the team, and x, the number of players on the team. The coach will use no more than 6 players on the school's golf team. Which set best represents the range of the function for this situation?

• {96, 84, 72, 60, 48, 36, 24}

• {8, 9, 10, 11, 12, 13, 14}

• {96, 88, 80, 72, 64, 56, 48}

• {0, 1, 2, 3, 4, 5, 6}

A part of a linear function is graphed on the grid. Which inequalities best describe the domain and range of the part shown?

• A

• B

• C

• D

Which graph best represents a function with a domain of all real numbers less than or equal to 6?

• Graph A

• Graph B

• Graph C

• Graph D

Which answer choice best describes the domain and range of the function for this situation?

• Domain: All real numbers greater than or equal to 0 and less than or equal to 100. Range: All real numbers greater than or equal to 0 and less than or equal to 50.

• Domain: {-2}. Range: {100}.

• Domain: All real numbers greater than or equal to 0 and less than or equal to 50. Range: All real numbers greater than or equal to 0 and less than or equal to 100.

• Domain: {100}. Range: {-2}.

What are the domain and range of f(x) = -3?

• Domain: All real numbers greater than or equal to -3
  Range: All real numbers

• Domain: [-3]
  Range: All real numbers

• Domain: All real numbers
  Range: All real numbers greater than or equal to -3

• Domain: All real numbers
  Range: [-3]

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

• 0 ≤ x ≤ 8

• 80 ≤ y ≤ 440

• 0 ≤ x ≤ 10

• 45 ≤ y ≤ 665

Which inequality best represents the domain of the part shown?

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 ≤ g(x) ≤ 3

• -6 ≤ g(x) < 3