Decaying exponential function plot

I want to plot an exponential function that approaches 1, then decays to zero. I have tried the script below. The function approaches 1 but does not decay. What have I done wrong?
Many Thanks! JMT
t = 0:0.1:10;
y = 1 - exp(-t);
if t>5
y = exp(-t);
end;
plot (t,y)

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