document.write( "Question 1148726: Find a formula for the exponential function passing through the points (-3,2/9) and (2,18) \n" ); document.write( "
Algebra.Com's Answer #770077 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+y+=+a%2Ab%5Ex+\"
\n" ); document.write( "( -3, 2/9 )
\n" ); document.write( "\"+2%2F9+=+a%2Ab%5E%28-3%29+\"
\n" ); document.write( "\"+a+=+%282%2F9%29%2Ab%5E3+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "( 2, 18 )
\n" ); document.write( "\"+18+=+a%2Ab%5E2+\"
\n" ); document.write( "\"+18+=+%282%2F9%29%2Ab%5E3%2Ab%5E2+\"
\n" ); document.write( "\"+%289%2F2%29%2A18+=+b%5E5+\"
\n" ); document.write( "\"+b%5E5+=+81+\"
\n" ); document.write( "\"+b%5E5+=+3%5E4+\"
\n" ); document.write( "\"+b+=+3%5E%284%2F5%29+\"
\n" ); document.write( "and
\n" ); document.write( "\"+a+=+%282%2F9%29%2Ab%5E3+\"
\n" ); document.write( "\"+a+=+%282%2F9%29%2A3%5E%2812%2F5%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+y+=++%282%2F9%29%2A3%5E%2812%2F5%29%2A3%5E%28%28+%284%2F5%29%2Ax+%29%29+\"
\n" ); document.write( "\"+y+=+%282%2F9%29%2A3%5E%28%28+12%2F5+%2B+%284%2F5%29%2Ax+%29%29+\"
\n" ); document.write( "----------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "( -3, 2/9 )
\n" ); document.write( "\"+y+=+%282%2F9%29%2A3%5E%28+12%2F5+%2B+%284%2F5%29%2Ax+%29+\"
\n" ); document.write( "\"+2%2F9+=+%282%2F9%29%2A3%5E%28%28+12%2F5+%2B+%284%2F5%29%2A%28-3%29+%29%29+\"
\n" ); document.write( "\"+2%2F9+=+%282%2F9%29%2A3%5E0+\"
\n" ); document.write( "\"+2%2F9+=+2%2F9+\"
\n" ); document.write( "OK
\n" ); document.write( "( 2, 18 )
\n" ); document.write( "\"+y+=+%282%2F9%29%2A3%5E%28+12%2F5+%2B+%284%2F5%29%2Ax+%29+\"
\n" ); document.write( "\"+18+=+%282%2F9%29%2A3%5E%28+12%2F5+%2B+%284%2F5%29%2A2+%29+\"
\n" ); document.write( "\"+81+=+3%5E%28%28+12%2F5+%2B+%284%2F5%29%2A2+%29%29+\"
\n" ); document.write( "\"+81+=+3%5E%28+20%2F5+%29+\"
\n" ); document.write( "\"+81+=+3%5E4+\"
\n" ); document.write( "\"+81+=+81+\"
\n" ); document.write( "OK
\n" ); document.write( "Get another opinion if needed
\n" ); document.write( "
\n" );