Consider a finite support signal x(t) = t, 0 ≤ t ≤1, and zero elsewhere.

(a) Plot x(t +1) and x(−t +1). Add these signals to get a new signal y(t). Do it graphically and verify your results analytically.

(b) How does y(t) compare to the signal Ʌ(t) = (1−|t|)for −1 ≤ t ≤ 1 and zero otherwise? Plot them. Compute the integrals of y(t) and Ʌ(t)for all values of t and compare them.