Constant Function
f(x) = c
A constant function is a function that always produces the same output value regardless of the input value. In other words, it is a function that has the same output value for every input value in its domain.
For example, the function f(x) = 5 is a constant function because no matter what value of x we input, the output value is always 5. Another example would be the function g(x) = 0, which always produces an output value of 0 for any input value of x.
Graphically, a constant function is represented by a horizontal line at a specific constant height, which is the value of the output for all inputs.
The domain of a constant function is any set of numbers, as the output will always be the same for any input value. The range of a constant function is a singleton set that contains the constant value which it produces for all input values.
Constant functions are simple but useful mathematical tools that have applications in various fields including physics, engineering, and economics. They are also helpful in understanding more complicated functions, as they provide a baseline for comparison and enable us to identify patterns or trends in more complex functions.
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