document.write( "Question 1117703: does the function |x|-y=6 define y as a function of x \n" ); document.write( "

Algebra.Com's Answer #732814 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
By definition, a function $\"f\"$ is a rule that assigns to each element $\"x\"$
\n" ); document.write( "in its domain $\"exactly\"$ $\"+one+\"$ $\"element\"$ , called $\"f%28x%29\"$ , in its range.\r
\n" ); document.write( "\n" ); document.write( " you are given the function $\"abs%28x%29-y=6\"$
\n" ); document.write( "rearrange it: $\"y=abs%28x%29-6\"$ \r
\n" ); document.write( "\n" ); document.write( "now find out what are the domain and range of $\"y=+abs%28x%29-6\"$ \r
\n" ); document.write( "\n" ); document.write( "domain: $\"R\"$ (all real numbers) or ( $\"-infinity\"$ , $\"infinity\"$ )
\n" ); document.write( " range: { $\"y\"$ element $\"R+\"$ : $\"+y%3E=-6\"$ } or ( $\"-6\"$ , $\"infinity\"$ )\r
\n" ); document.write( "\n" ); document.write( "since each element $\"x\"$ in its domain $\"exactly\"$ $\"+one+\"$ $\"y\"$ , $\"y=abs%28x%29-6\"$ is a function\r
\n" ); document.write( "\n" ); document.write( "or, simply graph it and use vertical line test:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "\n" ); document.write( "as you can see, both vertical lines intersect graph in exactly one point\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );