Determine which of the properties listed in Problem 1.27 hold and which do not
hold for each of the following discrete-time systems. Justify your answers. In each
example, y[n] denotes the system output and x[n] is the system input.
(a) y[n] = x[ -n] (b) y[n] = x[n- 2] - 2x[n- 8]
(c) y[n] = nx[n] (d) y[n] = 8v{x[n - I]}
{
x[n], n ~ 1 { x[n], n ~ 1
(e) y[n] = 0, n = 0 (f) y[n] = 0, n = 0
x[n + 1], n ~ -1 x[n], n ~ - 1
(g) y[n] = x[4n + 1

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.