AP®︎ Precalculus: Topic 2.14 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.14 of AP Precalculus – Logarithmic Function Context and Data Modeling.
Questions List
Topic 2.14
Question 1 Easy
| 1 | 2 |
| 3 | 4 |
| 9 | 6 |
| 27 | 8 |
| 81 | 10 |
Which type of function best models the data in the table?
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 2.14: Logarithmic Function Context and Data Modeling
Learning Objective: 2.14.A
Construct a logarithmic function model.
Essential Knowledge: 2.14.A.1
Logarithmic functions are inverses of exponential functions and can be used to model situations involving proportional growth, or repeated multiplication, where the input values change proportionally over equal-length output-value intervals. Alternately, if the output value is a whole number, it indicates how many times the initial value has been multiplied by the proportion.
Essential Knowledge: 2.14.A.2
A logarithmic function model can be constructed from an appropriate proportion and a real zero or from two input-output pairs.
Essential Knowledge: 2.14.A.3
Logarithmic function models can be constructed by applying transformations to based on characteristics of a context or data set.
Essential Knowledge: 2.14.A.4
Logarithmic function models can be constructed for a data set with technology using logarithmic regressions.
Essential Knowledge: 2.14.A.5
The natural logarithm function is often useful in modeling real-world phenomena.
Essential Knowledge: 2.14.A.6
Logarithmic function models can be used to predict values for the dependent variable, and they may be used to determine values of the independent variable.
