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Which of the following options is true for a linear time-invarient discrete time system that obeys the difference equations:

           $y[n]-ay[n-1]=b _{0}x[n]-b_{1}x[n-1]$

  1. $y[n]$ is unaffected by the values of $x[n-k];k> 2$
  2. The system is necessarily causal
  3. The system is impulse response is non-zero at infinitely many instants
  4. When $x[n]= 0,n< 0$, the function $y[n];n> 0$ is solely determined by the function $x[n]$
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