4. (10pt) Suppose f(t) = 2 - 9u(t - 1) + t$^2$u(t - 4) - (10 - t$^2$)u(t - 9) (a) (6pt) Sketch the graph of f(t). (b) (2pt) State any point of discontinuity. (c) (2pt) What is f(t)?
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To sketch the graph of f(t), we need to evaluate the function for different values of t. For t < 0, the function becomes f(t) = 2 - 9(0) - 1 + t(0) - 4 - 10 - t(0) - 9 = -22. For t ≥ 0, the function becomes f(t) = 2 - 9(1) - 1 + t(1) - 4 - 10 - t(1) - 9 = -32 Show more…
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