Domain and Range

Domain: the set of all INPUTS in a relation. All possible x-values! List each value only once and in order from least to greatest.

RANGE: The set of all OUTPUTS in a relation. All possible y-values! List each value only once and in order from least to greatest.

You can find domain & range given a variety of modes: Table Set of points Mapping Equation Graph Situation

Table Domain: ____________ Range: _____________ x y 4 3 2 5 7 9 1 12 All x-values from smallest to biggest x y 4 3 2 5 7 9 1 12 Domain: ____________ Range: _____________ { 1, 2, 3, 4 } { 3, 5, 7, 9, 12} All y-values from smallest to biggest

Set of Points Domain: Range: {(1,0), (-1,1), (1,2), (-3,3)} {-3, -1, 1} {0, 1, 2, 3}

Mapping 7 2 4 -1 9 3 6 x y Domain: Range: {-1, 2, 4, 7} {3, 6, 9}

Find the range of the given equation when the domain is {-5, 0, 5}: y = 3x2 - 1 Range: {-1, 74}

Graph D: R: {-3, -2, 0, 2} {-1, 0, 3, 4} (0, 4) (-2, 3) (-3, 0) (2, -1)

Graph 4 D: R: - 6 5 - 4

Situation Maria earns $7 per hour for baby-sitting after school and on Saturday. She works no more than 16 hours a week. Independent: Dependent: The number of hours she works The amount Maria earns Domain: Range: 0 to 16 hours $0 to $112

LET’S PRACTICE!

Table Domain: ___________ Range: ____________ x y 4 5 15 3 -1 10 10 Domain: ___________ Range: ____________ { -1, 0, 3, 4, 5 } { 0, 5, 10, 15}

Set of Points {(2, 3), (5, 2), (-1, 3)} Domain: Range: {-1, 2, 5} {2, 3}

Mapping 3 5 1 10 x y Domain: Range: {1, 3, 5} {0, 5, 10}

Find the range of the given equation when the domain is {-2, 0, 4}: y = 2x – 4 Range: {-8, -4, 4}

Graph D: R: {-6, -2, -1, 3, 5} {-6, -4, -1, 5}

Graph 5 D: R: - 4 2 - 4

Graph 1 D: R: - 1 6 - 6

Graph No top y-boundary ∞ D: R: 3 No left x-boundary - ∞ - 5

Situation Tara’s car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas in the tank. Independent: Dependent: The number of gallons of gas Distance travel Domain: Range: 0 to 12 gallons of gas 0 to 300 miles