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y=|6x|..in these absolute value questions ,we have to split the problem in to 2 cases
\n" ); document.write( "case1...the variable under absolute value sign is +ve..in this case it means 6x is +ve or x is +ve..then since 6x is +ve we will have y=|6x|=+6x........(1)
\n" ); document.write( "case2...the variable under absolute value sign is -ve..in this case it means 6x is -ve or x is -ve..then since 6x is -ve we will have y=|6x|=-6x........(2)
\n" ); document.write( "so we have to solve these 2 cases seperately to get 2 solutions..each case can however be dealt with in the normal manner.this is the general theory for solution of these eqns.
\n" ); document.write( "now coming to domain...that is the value x can take for a legal /meaningful equation connecting y....here we find there is no problem and x can take any real value...
\n" ); document.write( "now coming to range..that is the value y will take for the above values of x...we find from analysis above that whether x is +ve or -ve y is always +ve..
\n" ); document.write( "so range of y is all positive real numbers. \r
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