Practice problem

Step Functions

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Contributors

Alex Federspiel
Liza Sulkin
Victor Wang

Let $H(x)$ the Heaviside function, defined via: $H(x)=\begin{cases} 0 & x<0 \\ 1 & x\geq 0 \\ \end{cases}$

Suppose we have a function $h(n) = g(n)[H(n-1)-H(n-3)]$ . Select the function that $g(n)$ could be in order for $h(n)$ to have a value of $6$ at $n=2$ .