document.write( "Question 1153466: Find an exponential function of the form f(x) = C · a^x + D with horizontal asymptote y =1 whose graph contains the points (1,7)and (0,5). \n" ); document.write( "

Algebra.Com's Answer #775690 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "(1) Horizontal asymptote at y=1:

\n" ); document.write( "For a pure exponential function (D=0), the horizontal asymptote is 0. For the horizontal asymptote to be 1, D must be 1.

\n" ); document.write( " $\"f%28x%29+=+C%2Aa%5Ex%2B1\"$

\n" ); document.write( "The function value at x=0 is 5:

\n" ); document.write( " $\"5+=+C%2Aa%5E0%2B1\"$
\n" ); document.write( " $\"5+=+C%2B1\"$
\n" ); document.write( " $\"C+=+4\"$

\n" ); document.write( " $\"f%28x%29+=+4%28a%5Ex%29%2B1\"$

\n" ); document.write( "The function value at x=1 is 7:

\n" ); document.write( " $\"7+=+4%28a%5E1%29%2B1\"$
\n" ); document.write( " $\"7+=+4a%2B1\"$
\n" ); document.write( " $\"6+=+4a\"$
\n" ); document.write( " $\"a+=+1.5\"$

\n" ); document.write( " $\"f%28x%29+=+4%281.5%29%5Ex%2B1\"$

\n" ); document.write( "A graph:

\n" ); document.write( " $\"graph%28600%2C400%2C-10%2C5%2C-2%2C12%2C4%281.5%29%5Ex%2B1%29\"$

\n" ); document.write( " \n" ); document.write( "

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