Domain and Range of Linear Functions

Find the range of the graph below.

• -2 ≤ x < 4

• -3 < x ≤ 4

• -2 ≤ y < 4

• -3 < y ≤ 4

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

CCSS.HSF.IF.B.4

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 miles. What is the range of the 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 28

• All real numbers less than 9

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find the domain of the graph below.

• {-4, -2, 0, 2, 3}

• {-3, 2, 0, 2, 4,}

• All Real Numbers

• -3 ≤ x ≤ 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. 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}

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

The mapping below represents all of the points on the graph of the function f. What is the domain of f?

• {-4, -1, 0, 2, 7}

• {-5, 0, 1, 2, 4}

• All Real Numbers

• -4 ≤ x ≤ 7

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

A Plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of the containers in the plane. What is the greatest value in the domain for this situation?

• 8

• 8,000

• 160,000

• 80

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 of only the ordered pairs (52,3), (72,4), (86,5), and (105,6). What is the domain of this situation?

• {3, 4, 5, 6}

• {52, 72, 86, 105}

• 52 ≤ x ≤ 105

• 3 ≤ y ≤ 6

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Function f is graphed to the right. What is the range of f?

• -2 ≤ x < 4

• -2 < x ≤ 4

• -3 ≤ y < 3

• -3 < y ≤ 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the slope for the following equation: 3x + 4y = 16.

• 3

• 3/4

• -3

• -3/4

Tags

CCSS.HSS.ID.C.7

Identify the Domain of the graph depicted.

• 0 ≤ x ≤ 180

• 0 ≤ y ≤ 180

• 0 ≤ x ≤ 1500

• 0 ≤ y ≤ 1500

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5