x(t) is nonzero only for \({T_x} < t < T{'_x}\), and similarly, y(t) is nonzero only for \({T_y} < t < T{'_y}\). Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?

z(t) is nonzero for \(t > T{'_x} + T{'_y}\)

z(t) can be nonzero over an unbounded interval.

z(t) is nonzero for \(t < {T_x} + {T_y}\)

z(t) is zero outside of \({T_x} + {T_y} < t < T{'_x} + T{'_y}\)

x(t) is nonzero only for \({T_x} < t < T{'_x}\), and similarly, y(t) i

1.	x(t) is nonzero only for \({T_x} < t < T{'_x}\), and similarly, y(t) is nonzero only for \({T_y} < t < T{'_y}\). Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?
A.	z(t) can be nonzero over an unbounded interval.
B.	z(t) is nonzero for \(t < {T_x} + {T_y}\)
C.	z(t) is zero outside of \({T_x} + {T_y} < t < T{'_x} + T{'_y}\)
D.	z(t) is nonzero for \(t > T{'_x} + T{'_y}\)
Answer» D. z(t) is nonzero for \(t > T{'_x} + T{'_y}\)