Subjects algebra

Frequency Range

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1. The problem is to find a function that models a frequency between 20000 and 29999 with a value of 10. 2. We can interpret this as a step function or a piecewise function where the output is 10 for inputs in the range $20000 \leq x \leq 29999$. 3. The function can be defined as: $$ f(x) = \begin{cases} 10 & \text{if } 20000 \leq x \leq 29999 \\ 0 & \text{otherwise} \end{cases} $$ 4. This means for any input $x$ in the interval $[20000, 29999]$, the function returns 10, and 0 elsewhere. 5. This is a common way to represent frequency bands or ranges in signal processing or similar fields.