How do I plot this piecewise function WITHOUT using any LOGIC operators?

Hello, I am having trouble plotting this piecewise function:

I do not know what I'm doing wrong. If someone can help me out, I would really appreciate it. Here is my code.

t=[-5:75/99:70];

    for i=1:length(t)
        if t(i)>=0
            V(i)=10*((t(i))^2)-0.5*t(i);
        elseif t(i)<8
            V(i)=10*((t(i))^2)-0.5*t(i);
        elseif t(i)>=8
            V(i)=676-5*t(i);
        elseif t(i)<16
            V(i)=676-5*t(i);
        elseif t(i)>=16
            V(i)=20+36*t(i)+12*((t(i)-16)^2);
        elseif t(i)<26
            V(i)=20+36*t(i)+12*((t(i)-16)^2);
        elseif t(i)>=26
            V(i)=2156*exp(-.1*(t(i)-26));
        else
            V(i)=0;
        end
    end
    plot(t,V)

Here is what my output is:

And this is what it is supposed to look like:

Answer 1

[Star Strider]

I can’t imagine doing it without logic statements, but with that caveat, this is how I would do it:

v = @(t) [(10*t.^2-0.5*t).*((0<=t) & (t<8)) + (676-5*t).*((8<=t) & (t<16)) + (20+36*t+12*(t-16).^2).*((16<=t) & (t<26)) + (2156*exp(-0.1*(t-26))).*(t>=26)];

t=[-5:75/99:70];
vt = v(t);

figure(1)
plot(t, vt)
grid