Determine whether each of the following statements are true or false.

  •  A function is a relationship where each output value corresponds to exactly one input value.
  •  There are no functions such that all of the output values are the same.
  •  If `x` is a function of `y` then `y` must be a function of `x`
  •  If `y` is a function of `x` then `x` cannot be a function of `y`.