H is the Heaviside function, defined by Assume that is defined and continuous for all x.

H is the Heaviside function, defined by

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?

Transcribed Image Text:

H(x) 6 0 when x < 0 1 when x ≥ 0