Question

1. Write a Matlab function, piecewise (), that will calculate and return the value of the function f(x) defined by: 0<rS3 3<s5 e (x) -cos(3r) 2 sin(r) 2. Write a Matlab script to plot the function f(z) on the interval -3ss8. Ensure the output is sufficiently smooth by declaring z with enough data points. The plot should include the title My Piecewise Function, appropriate axis labels and grid lines.

Answer 1

piecewise.m

function y=piecewise(x)
if(x<=0)
y=1;
elseif(x>0 && x<=3)
y=exp(-x);
elseif(x>3 && x<=5)
y=-cos(3*x);
elseif(x>5)
y=2*sin(x);
end
end

plotpiecewise.m

x=[];
for i=-3:0.01:8
x=[x,i];
end
y=[];
for i=-3:0.01:8
y=[y,piecewise(i)];
end
plot(x,y);
xlabel('x')
ylabel('y')
title('y=piecewise(x)')

Output Plot:

5 05 -0.5 - 1.5