document.write( "Question 821571: Piecewise confuse me. Please help me understand this equation.\r
\n" );
document.write( "\n" );
document.write( "Evaluate the piecewise defined function at the indicated values.\r
\n" );
document.write( "\n" );
document.write( "f(x)= { x^2+2x if x ≤ -1
\n" );
document.write( " { x if -1< x ≤ 1
\n" );
document.write( " { 1 if x > 1\r
\n" );
document.write( "\n" );
document.write( "f(-4), f(-2/3), f(-1), f(0), f(25)\r
\n" );
document.write( "\n" );
document.write( "Please help. \n" );
document.write( "
Algebra.Com's Answer #494235 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "just break it down into the different \"pieces\", that's what piece-wise means: \n" ); document.write( "--- \n" ); document.write( "when x <= -1 use the first piece-wise function: f(x) = (x^2 + 2x) \n" ); document.write( "why? \n" ); document.write( "because the function definition tells you to use the first piece when x <= 1 \n" ); document.write( "--- \n" ); document.write( "so use (x^2 + 2x) to calculate f(-4) and f(-2/3) and f(-1) because those are all the values of x <= -1 that the problems wants solved. \n" ); document.write( "--- \n" ); document.write( "for f(0) use the second piece-wise function: f(x) = (x) \n" ); document.write( "why? \n" ); document.write( "you guessed it, because x=0 and the function definition tells you to use the second piece when -1 < x <= 1 \n" ); document.write( "--- \n" ); document.write( "for f(25) use the third piece-wise function: f(x) = (1) \n" ); document.write( "why? \n" ); document.write( "because the function definition tells you to use the third piece when x > 1 \n" ); document.write( "--- \n" ); document.write( "you can do the math on a calculator \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |