Question

Use a for loop to plot the function given in Problem 16 over the interval -2 ≤ x ≤ 6. Properly label the plot. The variable y represents height in kilometers, and the variable x represents time in seconds.

Answer 1

Program plan:

• To write a matlab code that using for loop to plot the piece wise function in the conditional statement.

 

Program:

%**********************************************************

%A matlab code to plot the piece wise function using the

%for loop for the given range of ‘x’.

%**********************************************************

%Program Code

%Declaration of the array

x=[-2:0.1:6];

for (i=1:length(x)) %Initialization of for loop

if (x(i)<-1) %Conditional statement

%Computes the value

y(i)=exp(x(i)+1);

elseif (x(i)>=-1)&(x(i)<5) %Conditional statement

%computes the value

y(i)=2+cos(pi*x(i));

else %Default statement

%Computes the value

y(i)=10*(x(i)-5)+1;

end %End of conditional statement

end %End of for loop

%Plotting the piece wise function

plot (x,y);

%Assigns text to x-axis

xlabel(\'Time in seconds\');

%Assigns text to y-axis

ylabel(\'Height in kilometers\');

 

Output: