4.2 Relations and Functions A function is a relation in which each ...
4.2 Relations and Functions A function is a relation in which each ...
4.2 Relations and Functions A function is a relation in which each ...
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<strong>4.2</strong> <strong>Relations</strong> <strong>and</strong> <strong>Functions</strong>A <strong>relation</strong> <strong>is</strong> any set of ordered pairs.x y3 -4-52-7 -4-5 7A <strong>function</strong> <strong>is</strong> a <strong>relation</strong> <strong>in</strong> <strong>which</strong> <strong>each</strong> <strong>in</strong>put has exactly one outputThe doma<strong>in</strong> of the <strong>function</strong> <strong>is</strong> the set of all <strong>in</strong>put values.The range of the <strong>function</strong> <strong>is</strong> the set of all output values.
<strong>4.2</strong> <strong>Relations</strong> <strong>and</strong> <strong>Functions</strong>A <strong>relation</strong> <strong>is</strong> any set of ordered pairs.x y3 -4-52-7 -4-5 7A <strong>function</strong> <strong>is</strong> a <strong>relation</strong> <strong>in</strong> <strong>which</strong> <strong>each</strong> <strong>in</strong>put has exactly one outputThe doma<strong>in</strong> of the <strong>function</strong> <strong>is</strong> the set of all <strong>in</strong>put values.The range of the <strong>function</strong> <strong>is</strong> the set of all output values.
You can determ<strong>in</strong>e if a <strong>relation</strong> <strong>is</strong> a <strong>function</strong> by check<strong>in</strong>g the table:x y3 -4-5 2-7 -4-5 7You can determ<strong>in</strong>e if a <strong>relation</strong> <strong>is</strong> a <strong>function</strong> by look<strong>in</strong>g at the graph:
You can determ<strong>in</strong>e whether a <strong>relation</strong> <strong>is</strong> a <strong>function</strong> by mapp<strong>in</strong>g:doma<strong>in</strong>rangedoma<strong>in</strong>range46576574doma<strong>in</strong>2345range-175doma<strong>in</strong>2325range-62-87
** A <strong>relation</strong> <strong>is</strong> a <strong>function</strong> if no vertical l<strong>in</strong>e passes throughtwo or more po<strong>in</strong>ts on the graph.Does the graph represent a <strong>function</strong>?
Give the doma<strong>in</strong> <strong>and</strong> range of <strong>each</strong> <strong>relation</strong>.Tell whether it <strong>is</strong> a <strong>function</strong>.-3-2-1012131415422 4
Express <strong>each</strong> <strong>relation</strong> as a table, as agraph, <strong>and</strong> as a mapp<strong>in</strong>g diagram.{(-3, 4), (-3, 6), (-1, 7), (0, -2), (4, 6)}
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