Question 1153466
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(1) Horizontal asymptote at y=1:<br>
For a pure exponential function (D=0), the horizontal asymptote is 0.  For the horizontal asymptote to be 1, D must be 1.<br>
{{{f(x) = C*a^x+1}}}<br>
The function value at x=0 is 5:<br>
{{{5 = C*a^0+1}}}
{{{5 = C+1}}}
{{{C = 4}}}<br>
{{{f(x) = 4(a^x)+1}}}<br>
The function value at x=1 is 7:<br>
{{{7 = 4(a^1)+1}}}
{{{7 = 4a+1}}}
{{{6 = 4a}}}
{{{a = 1.5}}}<br>
{{{f(x) = 4(1.5)^x+1}}}<br>
A graph:<br>
{{{graph(600,400,-10,5,-2,12,4(1.5)^x+1)}}}<br>