The rule 'increase the input by 4' means to add 4 to any input number to get the output. The pairs of input and output numbers would reflect this constant increase by 4, such as (0, 4), (1, 5), (2, 6), and (3, 7).
The function rule "increase the input by 4" means that whatever number is given as an input, we will add 4 to it to get the output. For example, if the input is 1, the output would be 1 + 4 = 5. If the input is 2, the output would be 2 + 4 = 6, and so on. This pattern of adding 4 to the input to determine the output is uniformly applied no matter what the initial input value is.
In this context, none of the options a, b, c, or d is directly relevant to the function rule described. Instead, we should be looking at pairs of numbers where the second number (the output) is always 4 greater than the first number (the input). So if we had inputs of 0, 1, 2, 3, the corresponding outputs would be 4, 5, 6, 7.