The function family that could have a constant is a piecewise function.
What is a piece-wise function and why they could have a constant?
A piece-wise function is a function that has multiple definitions, depending on the input. One of these definitions could be a constant, hence the family of piece-wise functions could have a constant.
What are exponential and quadratic functions and why they could not have a constant?
An exponential function has the following format:
[tex]y(x) = ab^x[/tex].
A quadratic function has the following format:
[tex]y(x) = ax^2 + bx + c[/tex].
Both are explicitly dependent on the input variable x, hence they cannot be constant over an interval.
More can be learned about piecewise functions at https://brainly.com/question/27976102
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