constant function

noun
UK /ˈkɒnstənt ˈfʌŋkʃən/
US /ˈkɑːnstənt ˈfʌŋkʃən/

A constant function is a math rule that always gives the same answer, no matter what number you put in.

The function f(x) = 5 is a constant function because it always equals 5.


OTHER MEANINGS

2. In programming, a function that always returns the same output for the same input and has no side effects.

The compiler optimized the constant function because its result never changes.

3. A mathematical mapping whose output value does not depend on the input variable.

Every point on the graph of a constant function lies on a horizontal line.

4. A function whose derivative is zero everywhere it is defined.

Since its slope is always zero, a constant function has a derivative of 0.