document.write( "Question 115516: Consider the function f(x)=x^2+6x-2.\r
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\n" ); document.write( "\n" ); document.write( "b)Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in the table below. Make sure your x-values are in increasing order in your table. \n" ); document.write( "

Algebra.Com's Answer #84062 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E2%2B6x-2\"$ Start with the given function.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-5%29=%28-5%29%5E2%2B6%28-5%29-2\"$ Plug in $\"x=-5\"$ . In other words, replace each x with -5.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-5%29=%2825%29%2B6%28-5%29-2\"$ Evaluate $\"%28-5%29%5E2\"$ to get 25.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-5%29=%2825%29%2B-30-2\"$ Multiply 6 and -5 to get -30\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-5%29=-7\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "-----------Now let's evaluate another value---------\r
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\n" ); document.write( "\n" ); document.write( "Let's evaluate an x-value that is to the left of x=-3. Let's evaluate $\"f%28-4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E2%2B6x-2\"$ Start with the given function.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-4%29=%28-4%29%5E2%2B6%28-4%29-2\"$ Plug in $\"x=-4\"$ . In other words, replace each x with -4.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-4%29=%2816%29%2B6%28-4%29-2\"$ Evaluate $\"%28-4%29%5E2\"$ to get 16.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-4%29=%2816%29%2B-24-2\"$ Multiply 6 and -4 to get -24\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-4%29=-10\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "-----------Now let's evaluate another value---------\r
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\n" ); document.write( "\n" ); document.write( "Let's evaluate an x-value that is to the right of x=-3. Let's evaluate $\"f%28-2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E2%2B6x-2\"$ Start with the given function.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=%28-2%29%5E2%2B6%28-2%29-2\"$ Plug in $\"x=-2\"$ . In other words, replace each x with -2.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=%284%29%2B6%28-2%29-2\"$ Evaluate $\"%28-2%29%5E2\"$ to get 4.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=%284%29%2B-12-2\"$ Multiply 6 and -2 to get -12\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=-10\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "-----------Now let's evaluate another value---------\r
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\n" ); document.write( "\n" ); document.write( "Let's evaluate an x-value that is to the right of x=-3. Let's evaluate $\"f%28-1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=x%5E2%2B6x-2\"$ Start with the given function.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=%28-1%29%5E2%2B6%28-1%29-2\"$ Plug in $\"x=-1\"$ . In other words, replace each x with -1.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=%281%29%2B6%28-1%29-2\"$ Evaluate $\"%28-1%29%5E2\"$ to get 1.\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=%281%29%2B-6-2\"$ Multiply 6 and -1 to get -6\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=-7\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "Now lets make a table of the values we have calculated\r
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document.write( " x y
 -5 -7
 -4 -10
 -3 -11
 -2 -10
 -1 -7\r\n" );
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