Which of the following statements about constant functions is true?

A constant function is defined as a function in which the output value remains the same regardless of the input value. This characteristic means that for every input in the domain of the constant function, the same output is produced.

For instance, a function defined as ( f(x) = c ), where ( c ) is a constant, will yield ( c ) for any value of ( x ) that you choose. Therefore, there is no change in the output as the input varies, which directly supports the accuracy of the chosen statement.

In terms of graphical representation, a constant function is depicted as a horizontal line on the Cartesian plane, illustrating that there are no fluctuations in output values across different inputs. This visual aspect further solidifies the idea that the output remains unchanged for any input.

Overall, the correct assertion regarding constant functions is that the output is consistent across all inputs, validating the choice made.