Question

2) (USE MATLAB) Create a function called g that satisfies the following criteria. (Hint: Find function)

For x < -π                    g(x) = -1

For x ≥ -π and x ≤ π    g(x) = cos(x)

For x >π                      g(x) = -1

Plot your results for values of x from -2p to +2p. Choose your spacing to create a smooth curve.

Answer 1

Matlab Code:

clc;

x = -2*pi:pi/100:-pi;

g = (-1).*x.^(0);

plot(x,g)

hold on

x = -pi:pi/100:pi;

g = cos(x);

plot(x,g)

hold on

x = pi:pi/100:2*pi;

g = (-1).*x.^(0);

plot(x,g)

set(gca,'XTick',-2*pi:pi:2*pi);

set(gca,'XTickLabel',{'-2*pi','-pi','0','pi','2*pi'});

xlabel('x')

ylabel('g(x)')

grid on

Plot:

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