Constant Functions: Definition And Examples.

Constant Function

When y equals a constant number (no x-variable).

A constant function is a type of function where the value of the function remains constant throughout its entire domain. That is, no matter what value of the input variable (also called the independent variable) is chosen from the domain of the function, the output (also known as the dependent variable) remains the same.

For example, a constant function could be defined as:

f(x) = 4

This means that no matter what value of x is chosen, the output or y-value of the function will be 4. The graph of a constant function is a horizontal line that extends infinitely in both directions.

Another example of a constant function could be:

g(t) = -3

This means that no matter what value of t is chosen, the output or y-value of the function will be -3. The graph of this function is also a horizontal line, but this line will be found at y = -3 instead of y = 4 as in the first example.

It is important to note that constant functions are a special type of function. They are simple, but useful models for certain real-world situations. They can also be used as building blocks for more complex functions.

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