The Heaviside function: is widely used in engineering applications. (See figure.) To print an enlarged copy of

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The Heaviside function:
(1, х 2 0 х20 (0, х<0 н)

is widely used in engineering applications. (See figure.) To print an enlarged copy of the graph, go to MathGraphs.com.

3 y = H(x) -3 -2 -1 1 2 3 -2- -3 +

Sketch the graph of each function by hand.
(a) H(x) ˆ’ 2
(b) H(x ˆ’ 2)
(c) ˆ’H(x)
(d) H (ˆ’x)
(e) 1/2 H(x)
(f) ˆ’H(x ˆ’ 2) + 2

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