The function y= t can represent

Step-by-step solution

The function y = ( t) is defined for t > 0 . A function f(t) is periodic if there exists a positive constant T such that f(t + T) = f(t) for all t . For the given function, ( (t + T)) = ( t + T) = ( t) + (1 + T t ) . Since (1 + T t ) 0 for any T > 0 and t > 0 , the condition f(t + T) = f(t) cannot be satisfied for any constant T . Therefore, the function y = ( t) is a non-periodic function. Answer: non-periodic function