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==Basic properties==
As a real-valued function of a real-valued argument, a constant function has the general form ABCD <math>y(x)=c</math> or just <math>y=c</math> .
:'''Example:''' The function <math>y(x)=2</math> or just <math>y=2</math> is the specific constant function where the output value is <math>c=2</math>. The [[___domain of a function|___domain of this function]] is the set of all real numbers ℝ. The [[codomain]] of this function is just {2}. The independent variable ''x'' does not appear on the right side of the function expression and so its value is "vacuously substituted". Namely ''y''(0)=2, ''y''(−2.7)=2, ''y''(π)=2,.... No matter what value of ''x'' is input, the output is "2".
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