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What is the impulse response till t=16 unit in time of a system whose transfer function is that of the following?

What is the impulse response till t=16 unit in time of a system whose transfer function is that of the following? Correct Answer 3⁄4*r(t-4) – 3⁄4*r(t-16)-u(t-16)

The correct representation of the signal shown in the graph is 3⁄4*r(t-4) – 3⁄4*r(t-16)-u(t-16). This is because the ramp function, starting from t=4 units in time, has a slope of 3⁄4 and it’s shown to end at t=16. So, there it faces a slope change to 0, so the 2nd term happens and finally, the amplitude becomes 0 which is why, the 3rd term happens.

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