Final answer:
The statement that a function can have no inputs, one input, or multiple inputs is true. Functions are relations that can have varying numbers of input values, from none (constant functions) to one (univariate functions) or more (multivariate functions).
Step-by-step explanation:
It is true that a function can have no inputs, one input, or multiple inputs. In mathematics, a function is a relation between a set of inputs and a set of permissible outputs. Having no input usually refers to a constant function where the output value is the same regardless of any input.
A function with one input is known as a univariate function and is the most common type, such as f(x) = x^2 which squares the input value. Functions with multiple inputs are called multivariate functions, an example of which is f(x, y) = x + y, which adds together two input values.
Yes, it is possible to have no inputs to a function, one input to a function, or multiple inputs to a function.
For example, a function that calculates the square of a number can have no inputs if it uses a predefined value. A function that calculates the area of a rectangle can have one input, which is the length of one side. A function that calculates the volume of a rectangular prism can have multiple inputs, which are the length, width, and height.
So, it is true that a function can have no inputs, one input, or multiple inputs.