Final answer:
A non-constant function is a function that does not have a constant value for its output. Examples of non-constant functions include quadratic functions and sine functions. Non-constant functions represent relationships that have varying outputs depending on the input.
Step-by-step explanation:
A non-constant function is a function that does not have a constant value for its output. In other words, the output of a non-constant function changes as the input changes. An example of a non-constant function is the quadratic function, f(x) = x^2. As the input value, x, changes, the output value, f(x), changes.
Another example of a non-constant function is the sine function, f(x) = sin(x). The output value of the sine function, f(x), oscillates between -1 and 1 as the input value, x, varies.
Non-constant functions are more commonly encountered in mathematics compared to constant functions. They represent relationships that have varying outputs depending on the input.