1.3

• Average rate of change: linear function

  • the average rate of change over any length input-value interval is constant
  • the average rate of change is changing at a rate of zero
  • the first differences are constant (over equal intervals of 1 unit)
• Average rate of change: quadratic function

  • the average rate of change over consecutive equal-length input-value interval can be given by a linear function
  • the average rate of change is changing at a constant rate
  • the second differences are constant (over equal intervals of 1 unit)
• Concave up: the average rate of change over equal length input value interval is increasing for all small length intervals.
• Concave down: the average rate of change over equal length input value interval is decreasing for all small length intervals.