Question

The function f:(0,1} ³→{0,1} ³ is defined as: For every x∈(0,1) ²,f(x) is obtained by removing the first bit and adding a 1 to the end of the string. For example. f(001)=011. Select the set corresponding to the range of f. a) (100,101,110,111) b) (000,001,010,011,100,101,110,111) c) (001,011,101,111) d) (01. 11)

Answer 1

The range of the function f:(0,1}³ →{0,1}³ can be determined by applying the function to each input. The set corresponding to the range is (001,010,011,101).

Step-by-step explanation:

The function f:(0,1}³→{0,1}³ is defined as: For every x∈(0,1)², f(x) is obtained by removing the first bit and adding a 1 to the end of the string. For example, f(001)=011.

To determine the range of f, we need to find all possible outputs for the function. Starting with the inputs (0,0,0), (0,0,1), (0,1,0), and (0,1,1), we apply the function f to each input and obtain the outputs (0,0,1), (0,1,0), (0,1,1), and (1,0,1) respectively. Therefore, the set corresponding to the range of f is (001,010,011,101).

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