Domain and Range.

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Presentation transcript:

Domain and Range

Domain: In a set of ordered pairs, (x, y), the domain is the set of all x-coordinates. Range: In a set of ordered pairs, (x, y), the range is the set of all y-coordinates.

Ex:{(2,3),(-1,0),(2,-5),(0,-3)} Domain: {2,-1,0} Range: {3,0,-5,-3} The set of ordered pairs may be a limited number of points. Given the following set of ordered pairs, find the domain and range. Ex:{(2,3),(-1,0),(2,-5),(0,-3)} If a number occurs more than once, you do not need to list it more than one time. Domain: {2,-1,0} Range: {3,0,-5,-3}

The set of ordered pairs may be an infinite number of points, described by a graph. Given the following graph, find the domain and range.

Range:{y:y≥0} Domain:{all real numbers}

Example: Domain: {x: x≥5} Range: {y: y≥0} The set of ordered pairs may be an infinite number of points, described by an algebraic expression. Given the following function, find the domain and range. Example: Domain: {x: x≥5} Range: {y: y≥0}

Practice: Find the domain and range of the following sets of ordered pairs. 1. {(3,7),(-3,7),(7,-2),(-8,-5),(0,-1)} Domain:{3,-3,7,-8,0} Range:{7,-2,-5,-1}

2. Domain={x:x } Range:{all reals}