How do you graph a function that refers to the function in its value?

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How do you graph a function that refers to the function in its value?
For example,
Function:
y(p)=[y(p-2)+y(p-1)]/2
y(1)=0
y(2)=[y(0)+y(1)]/2
How would you graph this, when p is equal to 1-20?

Accepted Answer

galaxy
galaxy on 23 Oct 2019
what is y(0)?
please refer following example.
y(1) = 0;
y(2) = 1;
for i = 3:20
y(i) = (y(i-1)+y(i-2))/2;
end
plot(y)

More Answers (1)

Shubham Gupta
Shubham Gupta on 23 Oct 2019
MATLAB doesn't allow 0 as an index. Infact, index must be a natural number.
y(0) % is an invalid index because 0
y(0.5) % is an invalid index because fraction
y(-1) % is an invalid index because negative
Now, to solve the problem for indexing that starts with 0, you can shift indeces by 1 unit forward. So, now your code will become.
y(0+1) = 0; % equivalent to y0
y(1+1) = 1; % equivalent to y1
for i = 2:20
y(p+1) = (y(p-2+1) + y(p-1+1))/2; % will calculate y(3), y(4),......, y(21) equivalent to y2, y3,....., y20
end
Now, once you have stored the data in y variable, you can plot it using the 'plot' function
plot(y)
Let me know if you have any doubts

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