1.3

Topic

Rates of Change in Linear and Quadratic Functions

Practice by unit: Polynomial and Rational Functions

Sub-standards

• 1.3.A.1 — Determine the average rates of change for sequences and functions, including linear, quadratic, and other function types. For a linear function, the average rate of change over any length input-value interval is constant.
• 1.3.A.2 — For a quadratic function, the average rates of change over consecutive equal-length input value intervals can be given by a linear function.
• 1.3.A.3 — The average rate of change over the closed interval is the slope of the secant line from the point(a f , (a)) to (b f , (b)).
• 1.3.B.1 — Determine the change in the average rates of change for linear, quadratic, and other function types. For a linear function, since the average rates of change over consecutive equal-length input value intervals can be given by a constant function, these average rates of change for a linear function are changing at a rate of zero.
• 1.3.B.2 — For a quadratic function, since the average rates of change over consecutive equal-length input value intervals can be given by a linear function, these average rates of change for a quadratic function are changing at a constant rate.