#9 Domain & Range

An athlete ran at a constant speed for 12 seconds. The part of the linear function shown represents the distance the athlete ran in yards, y, as a function of the time in seconds, x. What is the domain of the function for this situation?

• 0 ≤ x ≤ 14

• 0 ≤ x ≤ 12

• 0 ≤ y ≤ 110

• 0 ≤ y ≤ 100

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 greater than (a)   and less than or equal to (b)   .

• -4
• 2
• -2
• 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The domain and range of part of linear function r are given. x > 5 y < 2 Which graph could represent this part of linear function r?

• Graph A

• Graph B

• Graph C

• Graph D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

A florist is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The graph shows the linear relationship between y, the number of flowers used, and x, the number of bouquets. 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}

Tags

CCSS.HSF.IF.B.4

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

• Domain: -4 < x < 5, Range: -7 < g(x) < 6

• Domain: -7 < x < 6, Range: -4 < g(x) < 5

• Domain: -4 ≤ x ≤ 5, Range: -7 ≤ g(x) ≤ 6

• Domain: -7 ≤ x ≤ 6, Range: -4 ≤ g(x) ≤ 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes. 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}

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

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 < g(x) ≤ 3

• -6 ≤ g(x) < 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF.IF.B.4