document.write( "Question 100570: Evaluate each function for the value specified.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x2 -7x + 10; find (a) f (0), (b)f(5),and(c)f(-2).\r
\n" ); document.write( "\n" ); document.write( "the X2 above is an X and a little 2 a little hight than the X (to the root of 2) i think it means?? Help me please? \n" ); document.write( "

Algebra.Com's Answer #73218 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
Before we start you need to know the meaning of $\"x%5E2\"$ .
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\n" ); document.write( "The 2 is called an exponent and it tells you how many times to multiply x times itself.
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\n" ); document.write( "So $\"x%5E2+=+x%2Ax\"$ and $\"x%5E3+=+x%2Ax%2Ax\"$ and $\"x%5E4+=+x%2Ax%2Ax%2Ax\"$ and so on.
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\n" ); document.write( "Now to the problem.
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\n" ); document.write( "You are given:
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\n" ); document.write( " $\"f%28x%29+=+x%5E2+-+7x+%2B+10\"$
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\n" ); document.write( "and you are first asked to find f(0). All that means is that you start with the function you
\n" ); document.write( "are given and wherever you see an x you substitute zero. Then you evaluate the function:
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\n" ); document.write( "so start with:
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\n" ); document.write( " $\"f%28x%29+=+x%5E2+-+7x+%2B+10\"$
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\n" ); document.write( "then substitute zero for into all the x terms to get:
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\n" ); document.write( " $\"f%280%29+=+0%5E2+-+7%2A0+%2B+10\"$
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\n" ); document.write( "but note that $\"0%5E2+=+0%2A0+=+0\"$ and $\"-7%2A0+=+0\"$ . When you substitute these values you
\n" ); document.write( "are left with:
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\n" ); document.write( " $\"f%280%29+=+0+-+0+%2B+10+=+10\"$
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\n" ); document.write( "so the answer is: $\"f%280%29+=+10\"$
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\n" ); document.write( "Next, you are to find f(5). Start with:
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\n" ); document.write( " $\"f%28x%29+=+x%5E2+-+7x+%2B+10\"$
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\n" ); document.write( "and wherever you see an x, substitute 5. When you do you get:
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\n" ); document.write( " $\"f%285%29+=+5%5E2+-+7%2A5+%2B+10\"$
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\n" ); document.write( "but $\"5%5E2+=+5%2A5+=+25\"$ and $\"-7%2A5=+-35\"$ . Substitute these values into the equation and
\n" ); document.write( "you get:
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\n" ); document.write( " $\"f%285%29+=+25+-+35+%2B+10\"$
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\n" ); document.write( "combine these three terms and you get 0. So the answer becomes:
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\n" ); document.write( " $\"f%285%29+=+0\"$
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\n" ); document.write( "Finally, you are to find f(-2). Start with:
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\n" ); document.write( " $\"f%28x%29+=+x%5E2+-+7x+%2B+10\"$
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\n" ); document.write( "and substitute -2 for x to get:
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\n" ); document.write( " $\"f%28-2%29+=+%28-2%29%5E2+-7%2A%28-2%29+%2B+10\"$
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\n" ); document.write( "Note that $\"%28-2%29%5E2+=+%28-2%29%2A%28-2%29+=+4\"$ and $\"-7%2A%28-2%29+=+%2B14\"$ . Substitute these values
\n" ); document.write( "and you have:
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\n" ); document.write( " $\"f%28-2%29+=+4+%2B+14+%2B+10+=+28\"$
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\n" ); document.write( "so the answer is:
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\n" ); document.write( " $\"f%28-2%29+=+28\"$
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\n" ); document.write( "Hope this helps you to understand the equation as well as what the exponents mean.
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