document.write( "Question 1108360:  find the point of discontinuity of f
\n" );
document.write( " where f(x) = 2x+3, if x is lesser than or equal to 2
\n" );
document.write( "  and also f (x) = 2x-3, if x is greater than 2 \n" );
document.write( "
| Algebra.Com's Answer #723371 by greenestamps(13209)     You can put this solution on YOUR website! \n" ); document.write( "Both functions are continuous, so the only possible point of discontinuity is where the definition of the piecewise function changes from one of the functions to the other. \n" ); document.write( "And indeed the piecewise function is discontinuous there, because at x=2 the function value is 2(2)+3 = 7; but as you approach x=2 from the right, the value of the function goes toward 2(2)-3 = 1. \n" ); document.write( " |