Consider the two discrete time signals $y = f(t)$ and $y = g(t)$ graphed below and each sampled 8 times per second for $0 \leq t \leq 1$.

Graph of $y = f(t)$		Graph of $y = g(t)$

1. Find the coordinate vector representations for the discrete time signals $f(t)$ and $g(t)$.
   • $\vec{f}=$ help (vectors)
   • $\vec{g}=$ help (vectors)
2. Draw the vector sum $\vec{f} + \vec{f}$ as a discrete time signal. Then, verify your answer using vector addition operations.
   • $\vec{f} + \vec{g} =$ help (vectors)
3. Draw the scaled vector $-4 \vec{f}$ as a discrete time signal. Then, verify your answer using vector addition operations.
   • $-4 \vec{f} =$ help (vectors)
4. Find the vector sum $k_1 \vec{f} + k_2 \vec{g}$ when $k_1 = -2$ and $k_2 = 3$.
   • $k_1 \vec{f} + k_2\vec{g} =$ help (vectors)
5. Find the additive inverse of $\vec{g}$.
   • $\vec{g} +$ $= \mathbf{0}.$ help (vectors)