Domain and range

Objectives ,[object Object],[object Object]

Quick Review ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object]

Graphing Notation An open circle means it does not include that point A closed circle means it does include the point An arrow means it keeps going that direction endlessly x y x y

Domain and Range ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],x left right y up down

Domain and Range ,[object Object],The possible x values are those between -2 and 4 -2 4 Domain: -2 ≤ x ≤ 4 The Range is all possible y values 5 2 The possible y values are those between 2 and 5 Range: 2 ≤ y ≤ 5 x y

Domain and Range ,[object Object],The possible x values are those between -6 and 8 Domain: -6 ≤ x < 8 The Range is all possible y values The possible y values are those between -7 and 4 Range: -7 ≤ y ≤ 4 -6 8 An open circle means not including that point -7 4 x y

Domain and Range ,[object Object],The possible x values are those between -4 and 5 Domain: -4 ≤ x ≤ 5 The Range is all possible y values The possible y values are those between 2 and 7 Range: 2 < y ≤ 7 2 7 An open circle means not including that point -4 5 x y

Domain and Range ,[object Object],The possible x values are those less than or equal to 6 Domain: x ≤ 6 The Range is all possible y values The possible y values are those less than or equal to 4 Range: y ≤ 4 6 4 x y

Domain and Range ,[object Object],The x values are any numbers Domain: All reals The Range is all possible y values 3 The y values are any numbers less than or equal to 3 Range: y ≤ 3 x y

Domain and Range ,[object Object],The x values are any numbers greater than or equal -5 Domain: x ≥ -5 The Range is all possible y values -5 The y values are any numbers Range: y is all reals x y

Conclusion ,[object Object],[object Object],[object Object],[object Object],x left right y up down

Domain and range

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Domain and range