For f(x)=x², what is the average rate from x=1 to x=3?
Answer & explanation
Learn: Function change and transformations4: (9−1)/(3−1).
All examsAP PrecalculusFoundation path
View coverage AP Precalculus Flashcards & Study Review
Read 12 sample cards from the 80-card AP Precalculus foundation collection. Try recalling each answer before checking the explanation.
Version 2026-10-27 · Original foundation materials · No sign-up
What this collection covers
Function reasoning foundations.
The cards preview selected ideas; they do not measure readiness for the whole examination. Your personal review schedule is available in the review tool.
Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.
Sample flashcards, with answers
An amount grows 12% per year. What is its multiplier?
Answer & explanation
Learn: Exponential growth and decay1.12.
What multiple of π is 60 degrees?
Answer & explanation
Learn: Angles and the unit circleπ/3.
What is the degree of (x²+1)(x³−2)?
Answer & explanation
Learn: Polynomial structure and end behavior5; highest powers multiply to x⁵.
What is log₃81?
Answer & explanation
Learn: Logarithms as inverse questions4 because 3⁴=81.
A sinusoid ranges from 2 to 10. What is its amplitude?
Answer & explanation
Learn: Read a sinusoidal model4.
What is the remainder of x²+3 on division by x−2?
Answer & explanation
Learn: Zeros, factors and remainders7, the value at x=2.
If f(x)=2x+1 and g(x)=x², what is f(g(2))?
Answer & explanation
Learn: Compose and reverse functions9.
What Cartesian point is represented by polar (4,0)?
Answer & explanation
Learn: Polar coordinates and equivalent points(4,0).
Does cancelling x−2 from a quotient restore x=2?
Answer & explanation
Learn: Rational functions and restrictionsNo; the original denominator still excludes it.
An arithmetic sequence begins 3,7,11. What is its fifth term?
Answer & explanation
Learn: Sequences as discrete models19.
Does arcsin alone enumerate all solutions of sin x=c?
Answer & explanation
Learn: Enumerate trigonometric solutions on a stated intervalNo; other branches and periods must be considered.
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Sources and preparation route
These prompts and explanations are the site's original learning materials. The reference links below support the selected skills; they are not endorsements or official examination questions.