AP®︎ Precalculus: Topic 1.3 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.3 of AP Precalculus – Rates of Change in Linear and Quadratic Functions.
Questions List
Topic 1.3
Question 1 Easy
Let . What is the average rate of change of over ?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Precalculus Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 1.3: Rates of Change in Linear and Quadratic Functions
Learning Objective: 1.3.A
Determine the average rates of change for sequences and functions, including linear, quadratic, and other function types.
Essential Knowledge: 1.3.A.1
For a linear function, the average rate of change over any length input-value interval is constant.
Essential Knowledge: 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.
Essential Knowledge: 1.3.A.3
The average rate of change of a function over the closed interval is the slope of the secant line from the point to .
Learning Objective: 1.3.B
Determine the change in the average rates of change for linear, quadratic, and other function types.
Essential Knowledge: 1.3.B.1
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.
Essential Knowledge: 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.
Essential Knowledge: 1.3.B.3
When the average rate of change over equal-length input-value intervals is increasing for all small-length intervals, the graph of the function is concave up. When the average rate of change over equal-length input-value intervals is decreasing for all small-length intervals, the graph of the function is concave down.
