2.1. The signals in Figure P2.1 are zero except as shown.

(a) For the signal x(t) of Figure P2.1(a), plot

(i) (ii)

(iii) (iv)

Verify your results by checking at least two points.

x(3 + t) x(2 - t)

x(-t/3) x(-t)

(b) Repeat (a) for the signal x(t) of Figure P2.1(b).

(c) Repeat (a) for the signal x(t) of Figure P2.1(c).

2.2. The signals in Figure P2.1 are zero except as shown.

(a) For the signal x(t) of Figure P2.1(a), plot

(i) (ii)

(iii) (iv)

Verify your results by checking at least two points.

(b) Repeat part (a) for the signal x(t) of Figure P2.1(b).

(c) Repeat part (a) for the signal x(t) of Figure P2.1(c).

2.3. You are given the two signals in Figure P2.3.

(a) Express as a function of

(b) Verify your result by checking at least three points in time.

2.4. You are given the signals and in Figure P2.4.

(a) Express as a function of

(b) Verify your results by checking at least three points in time.

(c) Express as a function of

(d) Verify the results of part (c) by checking at least three points in time.

2.5. Given

find and sketch . x(2t - 4)

x(t) = 4(t + 2)u(t + 2) - 4tu(t) - 4u(t - 2) - 4(t - 4)u(t - 4) + 4(t - 5)u(t - 5),

x(t) y(t).

y(t) x(t).

x(t) y(t)

y(t) x(t).

2x(2t) + 2 -4x(t) + 2

4x(t) - 2 2x(t) + 2