document.write( "Question 1165873: How do I find the domain and range of \"f\" on a function graph? \n" ); document.write( "

Algebra.Com's Answer #790336 by MathLover1(20850) $\"\"$ $\"About$

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Another way to identify the $\"domain\"$ and $\"range\"$ of functions is by using graphs.
\n" ); document.write( "Because the $\"domain\"$ refers to the set of possible $\"input\"$ values, the domain of a graph consists of all the input values shown on the $\"x\"$ -axis.
\n" ); document.write( "The range is the set of possible $\"output\"$ values, which are shown on the $\"+y\"$ -axis.
\n" ); document.write( "Keep in mind that $\"if\"$ the graph continues beyond the portion of the graph we can see, the $\"domain\"$ and $\"range\"$ may be $\"greater\"$ than the visible values.\r
\n" ); document.write( "\n" ); document.write( "1 example:\r
\n" ); document.write( "\n" ); document.write( " $\"graph.png\"$ \r
\n" ); document.write( "\n" ); document.write( "We can observe that the graph extends $\"horizontally\"$ from $\"-5\"$ ( and $\"-5\"$ is included) to the right $\"without\"$ $\"+bound\"$ , so the domain is [ $\"-5\"$ , $\"infinity\"$ ). \r
\n" ); document.write( "\n" ); document.write( "The vertical extent of the graph is all $\"range\"$ values $\"5\"$ and below, so the range is( $\"-infinity\"$ , $\"5\"$ ]. \r
\n" ); document.write( "\n" ); document.write( "Note that the $\"domain\"$ and $\"range\"$ are $\"always+\"$ $\"written+\"$ from $\"smaller\"$ to $\"larger\"$ $\"+values\"$ , or from $\"left\"$ to $\"right\"$ for $\"domain\"$ , and from the $\"+bottom\"$ of the graph to the $\"top+\"$ of the graph for $\"range\"$ .\r
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