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For a function,

f(t) = t

^{2}if t < 2

t - 1 if t >= 2

the heaviside equation would be,

H(t) = t + (t-1 -t)u

_{2}(t)

or

H(t) = t - u

_{2}(t)

but i can't comprehend on how to solve the following function,

g(t) = t if t < 2

0 if t = 2

t if t > 2

i tried solving it, and i my answer is

H(t) = t + (0-t)u

_{2}(t) + (t-0)u

_{2}(t)

or

H(t) = t

did i do it right? thanks