Domain & Range 3.3 (From a graph & equation)

Use the graph to find the domain and range The graph represents the points (-1.8,5.2) (-4.8,3.2) (-4.8, -2.8) The domain is: {-1.8, -4.8} The range is {2.8, 3.2, 5.2}

Name the Domain and Range From a Graph The set of ordered pairs may be an infinite number of points as described by a graph. Domain:{all numbers} Range:{y:y≥0}

Does the graph represent a function? Name the domain and range. x y Yes D: all reals R: all reals R: y ≥ -6 x y

Does the graph represent a function? Name the domain and range. x y No D: x ≥ 1/2 R: all reals D: all reals x y

Does the graph represent a function? Name the domain and range. x y Yes D: all reals R: y ≥ -6 No D: x = 2 R: all reals x y

Domain from an Equation Most functions do not have restrictions on the domain and the domain is all real numbers. There can be a restriction on the domain if the function is a radical or a fraction because: -Square roots must be greater than or equal to zero. -Denominators cannot equal zero.

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Example:

Example:

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Assignment Complete Domain of a Function WS #2 Quiz tomorrow