Understanding the Constant Function and Identity Function: Exploring Elementary Functions in Mathematics

The constant function and the identity function are two special types of ________ functions

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The constant function and the identity function are two special types of elementary functions.

1. Constant Function:
A constant function is a type of elementary function in mathematics. It is defined as a function that assigns a single constant value to every element in its domain. In other words, regardless of the input, a constant function will always produce the same output.

Example:
Let’s consider the function f(x) = 5. This function is a constant function because it assigns the value 5 to every input x. So, for any value of x, f(x) will always be equal to 5.

2. Identity Function:
The identity function is another type of elementary function. It is defined as a function that returns the same value as its input. In other words, the output of an identity function is always equal to the input value.

Example:
Let’s consider the function g(x) = x. This function is an identity function because it returns the same value as its input. For any value of x, g(x) will be equal to x itself.

Summary:
The constant function assigns a single constant value to every element in its domain, while the identity function returns the same value as its input. Both functions are considered elementary functions because they are simple and fundamental in nature.

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