document.write( "Question 38926: find an exponential function f such that f(0)=1/2 and f(4)=9/2 \n" ); document.write( "
Algebra.Com's Answer #24405 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
The function is in the form
\n" ); document.write( "y = an^x
\n" ); document.write( "Plugging in the first point for x and y
\n" ); document.write( "1/2 = an^0
\n" ); document.write( "gives a = 1/2
\n" ); document.write( "so we're at
\n" ); document.write( "y = (1/2)n^x
\n" ); document.write( "now plug in the second point
\n" ); document.write( "9/2 = (1/2)n^4
\n" ); document.write( "n^4 = 9
\n" ); document.write( "n^2 = ± 3
\n" ); document.write( "n = ± sqrt(3) and n = ± i°sqrt(3)
\n" ); document.write( "All four n's work. \n" ); document.write( "
\n" );