Constant Function:

A constant function is a function that always returns the same value, regardless of its input. For example, the function f(x) = 5 is a constant function, because it always returns 5, no matter what value of x is input.

Range of Constant Function:

The range of a function is the set of all output values that the function can produce. For a constant function, the range is simply the set containing the constant value that the function returns.

For example, consider the constant function f(x) = 5. The range of this function is the set {5}, because that is the only output value that the function can produce.

Number of Elements in Range:

Since a constant function always returns the same value, the number of elements in its range is infinite. This is because there are an infinite number of possible inputs to the function, and for each input, the function returns the same output.

For example, consider the constant function f(x) = 5. No matter what value of x is input, the function will always return 5. Therefore, the range of the function contains an infinite number of elements.

Conclusion:

The number of elements in the range of a constant function is infinite, because the function always returns the same value, regardless of its input.