AP®︎ Precalculus: Topic 4.5 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.5 of AP Precalculus – Implicitly Defined Functions.
Questions List
Topic 4.5
Question 1 Easy
Which point lies on the graph of ?
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 4.5: Implicitly Defined Functions
Learning Objective: 4.5.A
Construct a graph of an equation involving two variables.
Essential Knowledge: 4.5.A.1
An equation involving two variables can implicitly describe one or more functions.
Essential Knowledge: 4.5.A.2
An equation involving two variables can be graphed by finding solutions to the equation.
Essential Knowledge: 4.5.A.3
Solving for one of the variables in an equation involving two variables can define a function whose graph is part or all of the graph of the equation.
Learning Objective: 4.5.B
Determine how the two quantities related in an implicitly defined function vary together.
Essential Knowledge: 4.5.B.1
For ordered pairs on the graph of an implicitly defined function that are close together, if the ratio of the change in the two variables is positive, then the two variables simultaneously increase or both decrease; conversely, if the ratio is negative, then as one variable increases, the other decreases.
Essential Knowledge: 4.5.B.2
The rate of change of with respect to or of with respect to can be zero, indicating vertical or horizontal intervals, respectively.
