Question

In cach of Problems 1 through 6, skctch the graph of the given function on the interval 0. 1. g(t)i(t) +2u(t) 6u4(t) 2. g(t)-(t 3)u2(t) -(t 2)us(t)

Answer 1

g(t) = 4, (t) + 24_3(t) - 64_4(t) = {0 1 3 - 3 t < 1 1 l lessthanorequalto t < 3 3: lessthanorequalto t < 4 t graterthanorequalto 4} g(t) = (t - 3) 4_2(t) - (t - 2) 4_3(t) = {0 t - 3 t - 3 - (t - 2) t < 2 2 l lessthanorequalto t < 3 3 l lessthanorequalto t} = {0 t - 3 - 1 t < 2 2 l lessthanorequalto t < 3 t graterthanorequalto 3}