Question

Plot the following signals. 3 = =−2 =7 −1 2 −

Answer 1

The plotted signal for the given sequence is:
`\(x[n] = 3, 0, -2, 0, 7, -1, 2\)`.

Step-by-step explanation

To plot the given sequence
`\(x[n] = 3, 0, -2, 0, 7, -1, 2\)`, we represent the values of the sequence at discrete time instances. In this case, the sequence has values at integer time indices
`\(n\)`. We plot these values on the y-axis against the corresponding time indices on the x-axis.

Starting with
`\(n = 0\)`, the value is 3; therefore, we plot a point at
`\((0, 3)\)`. At
`\(n = 1\)`, the value is 0, so we plot
`\((1, 0)\)`. This process is repeated for each value of
`\(n\)` in the sequence. Connecting these points forms the plot of the given sequence.

For the specific values in the sequence, we plot points at
`\(n = 0, 1, 2, 3, 4, 5, 6\)` with corresponding y-values
`\(3, 0, -2, 0, 7, -1, 2\).` Connecting these points results in a graph that represents the given sequence in the discrete time domain.

In summary, the final plotted signal is obtained by graphing the sequence values at their respective time indices, providing a visual representation of the discrete signal over the specified range of time indices.