To identify something that is not true of a key characteristic of a linear function, we should first clarify what the main characteristics of a linear function are:
- Constant Rate of Change: The slope (rate of change) between any two points on the line is constant.
- Graph: The graph of a linear function is a straight line.
- Form: The general form of a linear function is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
- Degree: A linear function has a degree of 1.
- Domain and Range: Both the domain and range of a linear function are all real numbers (unless otherwise restricted).
Given this, an example of a statement that is NOT true of linear functions could be:
- Linear functions have variable slopes: This is false because one of the fundamental characteristics of linear functions is that they have a constant slope.
If you have specific statements in mind, feel free to share them, and I can help identify which one is not true regarding linear functions!