document.write( "Question 1012572: Given the function, f(x)= 2/x^2-2x-3 find tthe domain and range by showing your work. After that, find the x and y intercepts \n" ); document.write( "

Algebra.Com's Answer #628583 by Fombitz(32388) $\"\"$ $\"About$

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$\"f%28x%29=2%2F%28x%5E2-2x-3%29=2%2F%28%28x%2B1%29%28x-3%29%29\"$
\n" ); document.write( "There are only two restrictions on x that make the denominator go to zero.
\n" ); document.write( "So $\"x=-1\"$ and $\"x=3\"$ are excluded from the domain.
\n" ); document.write( "Domain : ( $\"-infinity\"$ , $\"-1\"$ )U( $\"-1\"$ $\"3\"$ )U( $\"3\"$ $\"infinity\"$ )
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\n" ); document.write( "We can plot to look for the range,
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\n" ); document.write( "So from the graph, you see that as you move from left to right you go from $\"0\"$ to $\"infinity\"$ , $\"-infinity\"$ to $\"-1%2F2\"$ , and then from $\"infinity\"$ back to $\"0\"$ .
\n" ); document.write( "So the range is,
\n" ); document.write( "Range: ( $\"-infinity\"$ , $\"-1%2F2\"$ ]U( $\"0\"$ $\"infinity\"$ )
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\n" ); document.write( "There is no x-intercept, the graph never crosses the x-axis.
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\n" ); document.write( "When $\"x=0\"$ ,
\n" ); document.write( " $\"y=2%2F%28-3%29=-%282%2F3%29\"$
\n" ); document.write( "So the y-intercept is
\n" ); document.write( "( $\"0\"$ , $\"-2%2F3\"$ ) \n" ); document.write( "

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