AP Pre-Calculus MCQs
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AP Pre-Calculus practice questions by unit
Fiveable has 9,930 AP Pre-Calculus multiple-choice practice questions across 4 units. Practice one unit or topic at a time.
- Unit 1 – Polynomial and Rational Functions: 2,593 multiple-choice questions
- Unit 2 – Exponential and Logarithmic Functions: 2,810 multiple-choice questions
- Unit 3 – Trigonometric and Polar Functions: 2,334 multiple-choice questions
- Unit 4 – Functions Involving Parameters, Vectors, and Matrices: 2,193 multiple-choice questions
Sample AP Pre-Calculus practice question
A periodic function h(x) has period 5. Over [0, 5), it increases from x = 0 to x = 1.5, decreases from x = 1.5 to x = 4, and increases from x = 4 to x = 5. Which statement correctly describes h(x) over [5, 10)?
h(x) increases on [5, 6.5], decreases on [6.5, 9], and increases on [9, 10].
h(x) decreases on [5, 6.5], increases on [6.5, 9], and decreases on [9, 10].
h(x) increases on [5, 7.5], decreases on [7.5, 9], and increases on [9, 10].
The behavior cannot be determined without specific function values in [5, 10).
Explanation
Periodic functions repeat all characteristics identically in each period. Since [5, 10) is the second period, the increase/decrease pattern shifts by 5 but remains unchanged: [0, 1.5] → [5, 6.5], [1.5, 4] → [6.5, 9], [4, 5] → [9, 10].