document.write( "Question 1128856: A)Suppose f is an exponential function and f(0)=9 and f(1)=17. Write a function formula for f.
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Algebra.Com's Answer #745369 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "exponential formula is \r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=+ab%5Ex\"\r
\n" ); document.write( "\n" ); document.write( "if \"f%280%29=9\" we have \r
\n" ); document.write( "\n" ); document.write( "\"9+=+ab%5E0\"\r
\n" ); document.write( "\n" ); document.write( "\"9+=+a%2A1\"\r
\n" ); document.write( "\n" ); document.write( "\"a=9\"\r
\n" ); document.write( "\n" ); document.write( "and if \"f%281%29=17\"\r
\n" ); document.write( "\n" ); document.write( "\"17+=+9b%5E1\"\r
\n" ); document.write( "\n" ); document.write( "\"b=%2817%2F9%29\"\r
\n" ); document.write( "\n" ); document.write( "so, your formula is:\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+9%2817%2F9%29%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "B)\r
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\n" ); document.write( "\"g%28x%29+=+ab%5Ex\".........if \"+g%282%29=10\"\r
\n" ); document.write( "\n" ); document.write( "if \"g%282%29=10\"\r
\n" ); document.write( "\n" ); document.write( "\"10+=+ab%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"a=10%2Fb%5E2\"............1)\r
\n" ); document.write( "\n" ); document.write( "if \"g%283%29=14\"\r
\n" ); document.write( "\n" ); document.write( "\"14+=+ab%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"a=14%2Fb%5E3\"............2)\r
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\n" ); document.write( "\n" ); document.write( "from 1) and 2), we have\r
\n" ); document.write( "\n" ); document.write( "\"10%2Fb%5E2=14%2Fb%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"10b%5Ecross%283%29=14cross%28b%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"10b=14\"\r
\n" ); document.write( "\n" ); document.write( "\"b=14%2F10\"\r
\n" ); document.write( "\n" ); document.write( "\"b=7%2F5\"\r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"a=10%2Fb%5E2\"............1) substitute \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"a=10%2F%287%2F5%29%5E2\"............1)\r
\n" ); document.write( "\n" ); document.write( "\"a=10%2F%2849%2F25%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=%2810%2A25%29%2F49\"\r
\n" ); document.write( "\n" ); document.write( "\"a=250%2F49\"\r
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\n" ); document.write( "\n" ); document.write( "=> \"g%28x%29+=+%28250%2F49%29%287%2F5%29%5Ex\"\r
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