# Signals: Determing x(t) (Time reversal, shifting, expansion)

1. Oct 15, 2012

### jegues

1. The problem statement, all variables and given/known data

See first figure attached

2. Relevant equations

3. The attempt at a solution

See 2nd figure attached.

In part (b) it asks me to sketch the even portion of the original signal.

How do I know what that is?

I've sketched x(t) in my work and I know that the even portion of x(t) is,

$$x_{e}(t) = \frac{1}{2}(x(t) + x(-t))$$

but I can't simply describe x(t) for all values of t nicely. I can as I have in the figure, with different functional form for different values of t.

How do I do parts (b) and (c)?

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