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**Let f(x) be the step f'n f(x)=0 if x<0, f(x)=1 if x>=0. Every cts. f'n on [-1,1] is in Riemann{x)**

Is this True/False- and demonstrate with a short proof or counterexample:

Let f(x) be the step function f(x) = 0 if x<0, f(x) = 1 if x>= (greater than or equal to) 0. Every continuous function on [-1,1] is in Riemann(x).

Thanks in advance for the help!