Express y(t) as a function of x(t)

1. Aug 31, 2013

hogrampage

1. The problem statement, all variables and given/known data
Express y(t) as a function of x(t).

https://www.physicsforums.com/attachment.php?attachmentid=61309&d=1378005939

2. Relevant equations

3. The attempt at a solution
Transformations:
-x(t)
0.5x(t)
x(2t)
x(t-2)
x(t)+1.5

∴y(t) = -0.5x(2t-4)+1.5

Here is the plot:

As seen in the plot above, it is different from the figure in the book (P2.4(b)) on the time interval 4 < t < 5. Where am I going wrong?

Thanks!

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Last edited: Sep 1, 2013
2. Sep 1, 2013

Staff: Mentor

It seems that your answer is correct.

3. Sep 1, 2013

hogrampage

I just noticed that the time scale for 4 < t < 5 remains the same for the figure in the book. I know the time scale is compressed by 0.5 up until t = 4. So, is the book's figure supposed to look like my plot instead? It seems impossible to express y(t) as a function of x(t) if I use the figure in the book.

4. Sep 4, 2013

rude man

Looks right to me too.