What is "the function rule t–4?

The function rule t – 4 describes a simple mathematical transformation.

Here's a breakdown:

  • Input: The variable t represents the input to the function. It can be any numerical value.
  • Operation: The function performs a single arithmetic operation: subtraction. It subtracts the constant value 4 from the input t.
  • Output: The result of the subtraction (t - 4) is the output of the function. For every different value of t you input, you get a different output.
  • Example:
    • If t = 10, then the output is 10 - 4 = 6.
    • If t = 0, then the output is 0 - 4 = -4.
    • If t = -2, then the output is -2 - 4 = -6.
  • Linear Function: This function rule represents a linear%20function, because the highest power of the variable t is 1. Its graph would be a straight line. The slope of this line is 1 and y-intercept is -4.
  • Translation: In terms of graphical%20transformations, t - 4 represents a vertical translation (or shift) of the graph of the function f(t) = t downwards by 4 units.