document.write( "Question 124404: Evaluate each function for the value specified\r
\n" ); document.write( "\n" ); document.write( "3. f (x) = -2x^3 + 5x^2 - x - 1; find \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(a) f (-1), (b) f (0), and (c) f (2).
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #91163 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's evaluate \"f%28-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=-2x%5E3%2B5x%5E2-1x-1\" Start with the given function.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=-2%28-1%29%5E3%2B5%28-1%29%5E2-1%28-1%29-1\" Plug in \"x=-1\". In other words, replace each x with -1.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=-2%28-1%29%2B5%28-1%29%5E2-1%28-1%29-1\" Evaluate \"%28-1%29%5E3\" to get -1.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=-2%28-1%29%2B5%281%29-1%28-1%29-1\" Evaluate \"%28-1%29%5E2\" to get 1.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=%2B2%2B5%281%29-1%28-1%29-1\" Multiply -2 and -1 to get 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=%2B2%2B5-1%28-1%29-1\" Multiply 5 and 1 to get 5\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=%2B2%2B5%2B1-1\" Multiply -1 and -1 to get 1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=7\" Now combine like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------Now let's evaluate another value---------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's evaluate \"f%280%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=-2x%5E3%2B5x%5E2-1x-1\" Start with the given function.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=-2%280%29%5E3%2B5%280%29%5E2-1%280%29-1\" Plug in \"x=0\". In other words, replace each x with 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=-2%280%29%2B5%280%29%5E2-1%280%29-1\" Evaluate \"%280%29%5E3\" to get 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=-2%280%29%2B5%280%29-1%280%29-1\" Evaluate \"%280%29%5E2\" to get 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=%2B0%2B5%280%29-1%280%29-1\" Multiply -2 and 0 to get 0\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=%2B0%2B0-1%280%29-1\" Multiply 5 and 0 to get 0\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=%2B0%2B0%2B0-1\" Multiply -1 and 0 to get 0\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%280%29=-1\" Now combine like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------Now let's evaluate another value---------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's evaluate \"f%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=-2x%5E3%2B5x%5E2-1x-1\" Start with the given function.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=-2%282%29%5E3%2B5%282%29%5E2-1%282%29-1\" Plug in \"x=2\". In other words, replace each x with 2.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=-2%288%29%2B5%282%29%5E2-1%282%29-1\" Evaluate \"%282%29%5E3\" to get 8.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=-2%288%29%2B5%284%29-1%282%29-1\" Evaluate \"%282%29%5E2\" to get 4.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=-16%2B5%284%29-1%282%29-1\" Multiply -2 and 8 to get -16\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=-16%2B20-1%282%29-1\" Multiply 5 and 4 to get 20\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=-16%2B20-2-1\" Multiply -1 and 2 to get -2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%282%29=1\" Now combine like terms
\n" ); document.write( "
\n" ); document.write( "
\n" );