Plotting of a expotential curve between an interval in MATLAB - matlab

Question

I would like to plot an expotential curve between an interval based on a different multipler for each interval.
I have tried this:
%Plotting of h curve
function PlotQ(Time,h)
for i=2:size(Time,1)
for t=Time(i-1):0.1:Time(i)
plot([Time(i-1), Time(i)],exp(-h(i)*t))
hold on;
end
end
ymax = max();
xlim([1 max(Time)]);
ylim([-0.5 ymax+0.5]);
xlabel('Time')
ylabel('Rate')
end
The curve comes out like this:
Not sure what I am doing wrong.. Need some guidance..
New Edit:
T =[0;0.569444444444444;1.06666666666667;2.08611111111111;3.09722222222222;4.11111111111111;5.12500000000000;7.16111111111111;10.2000000000000;20.3444444444444;30.4944444444444];
%Plotting of h and Q
h = [0;0.0187;0.0194;0.0198;0.0215;0.0225;0.0241;0.0316;0.0379;0.0437;0.0452];
PlotQ(Time,h)

Answer 1

If I understood correctly, You are looking for something like this.
%Plotting of h curve
function PlotQ(Time,h)
for i=2:size(Time,1)
tVector=Time(i-1):0.1:Time(i);
sizetVector=length(tVector);
for t=2:sizetVector
plot([tVector(t-1), tVector(t)],[exp(-h(i)*tVector(t-1)),exp(-h(i)*tVector(t))]);
hold on
end
end
ymax = max();
xlim([1 max(Time)]);
ylim([-0.5 ymax+0.5]);
xlabel('Time')
ylabel('Rate')
end

Answer 2

I think, this is what you want:
function PlotQ(Time,h)
% Parameters
res = 0.1;
n = numel(h);
% Pre-allocate
y = cell(1,n);
t = cell(1,n);
% Calculate
for ii=2:n
t{ii} = Time(ii-1):res:Time(ii);
y{ii} = exp(-h(ii)*t{ii});
end
% Plot
t_ = [t{:}];
y_ = [y{:}];
figure;
plot(t_,y_);
axis([1 max(t_) -0.5 max(y_)+0.5]);
xlabel('Time');
ylabel('Rate');
end
It gives the following plot: