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How did I get here so quickly?? What day is it? How did I get here so quickly?? Lesson 2 -

DOMAIN AND RANGE

Objectives I can write the domain and range of any function in inequality(set builder) notation or interval notation.

Finding Domain & Range Given: Discrete graphs – you just LIST the domain and range (don’t repeat and list in order from least to greatest) Continuous graphs – use interval notation (least, greatest)

Find the Domain and Range x y -4 1 -6 2 -8 3

Find the Domain and Range x y 12 -4 15 -6 16

Set Notation Uses: Is used when there is a open dot or the number is NOT included on the graph. Is used when there is a closed dot or when the number is included on the graph. Is used when one number is excluded.

Domain and Range: Graph

Domain and Range: Graph

Domain and Range: Graph Special case: When there is an open circle and closed circle on the same number – go with the closed circle.

Domain and Range: Graph

Domain and Range: Graph

Domain and Range: Graph

Interval of Increase, Interval of Decrease, & Constant Graphs To find where the graph is increasing and decreasing, trace the graph with your finger from left to right. Specify the x-values!

Interval of increase: Interval of decrease:

Interval of increase: Interval of decrease: