Hi @Zac
Because you mispelled 'piecwise'?
Anyhow, you can try using one of these methods:
t = -3:1e-3:5;
%% Method 1
x = @(t) 0*(t<-2) + (((2 + t)/2).^2).*((-2 <= t) & (t < 0)) + 1*((0 <= t) & (t < 2)) + (((4 - t)/2).^2).*((2 <= t) & (t < 4)) + 0*(4 <= t);
subplot(3,1,1)
plot(t, x(t), 'linewidth', 1.5, 'Color', [0.8500, 0.3250, 0.0980])
ylim([-0.5 1.5]), grid on, xlabel('t'), ylabel('x(t)'), title('Method 1')
%% Method 2
x1 = 0*(t<-2); % segment 1
x2 = (((2 + t)/2).^2).*((-2 <= t) & (t < 0)); % segment 2
x3 = 1*((0 <= t) & (t < 2)); % segment 3
x4 = (((4 - t)/2).^2).*((2 <= t) & (t < 4)); % segment 4
x5 = 0*(4 <= t); % segment 5
x = x1 + x2 + x3 + x4 + x5; % combine all segments
subplot(3,1,2)
plot(t, x, 'linewidth', 1.5, 'Color', [0.9290, 0.6940, 0.1250])
ylim([-0.5 1.5]), grid on, xlabel('t'), ylabel('x(t)'), title('Method 2')
%% Method 3
syms t
x = piecewise(t<-2,0, -2<t<0,((2 + t)/2)^2, 0<t<2,1, 2<t<4,((4 - t) / 2)^2, 4<t,0);
subplot(3,1,3)
fplot(x, [-3 5], 'linewidth', 1.5, 'Color', [0.4660, 0.6740, 0.1880])
ylim([-0.5 1.5]), grid on, xlabel('t'), ylabel('x(t)'), title('Method 3')
