Show that the system described by 
is non-linear, static, BIBO stable, non-invertible and time invariant.
What will be an ideal response?
If 
Therefore the system is not homogeneous and not linear.
The system is static because the value of y depends only on the value of x at the same time.
The system is BIBO stable because the response can never lie outside the range - 10 to 10.
The system is non-invertible because, if the response is 10 the excitation can be any value from 2 to infinity.
The system is time invariant because if the excitation is shifted in time, the response, which occurs at the same time as the excitation because it is static, shifts the same amount in time.
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