Question: H is the Heaviside function, defined by Assume that is defined and continuous for all x. Under what condition on are we assured

H is the Heaviside function, defined by

H(x) 6 0 when x < 0 1 when x 0

Assume that ƒ is defined and continuous for all x. Under what condition on ƒ are we assured that the function g, defined by g(x) = H(x − a) ƒ(x), is continuous?

H(x) 6 0 when x < 0 1 when x 0

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