Question 1
Let f(x) represent a third-degree polynomial function with real coefficients. When y = f(x) is graphed, it is found that f(3) = −1 and f(4) = 2. Which statement must be true?
Correct Answer:
The function f(x) has exactly one or three real zeros in the interval [3, 4].
Explanation:
Correct answer: The function f(x) has exactly one or three real zeros in the interval [3, 4].
Question 2
For the function f(x) = x 2 − 4x + 1, evaluate f(x + h).
Correct Answer:
x 2 + h 2 + 2xh − 4x − 4h + 1
Explanation:
Correct answer: x 2 + h 2 + 2xh − 4x − 4h + 1
Question 3
Cailey wants to buy a new outdoor heater. The cost for the unit is $349.99. If she plans to run the heater 5 months out of the year for an annual operating cost of $121.67, which function models the cost per year over the lifetime of the unit, C(t), in terms of the number of years, t, that she owns the heater? (C) c(t) = \frac{349.99 + 121.67t} {t} .
Correct Answer:
c(t) = \frac{349.99 + 121.67t} {t} .
Explanation:
Correct answer: c(t) = \frac{349.99 + 121.67t} {t} .
Question 4
Which of the following equations could represent the graph shown below?
Correct Answer:
y= \frac{x} {x^{2} - 4}
Explanation:
Correct answer: y= \frac{x} {x^{2} - 4}
Question 5
Which of the following linear functions are increasing?
Correct Answer:
f(x) = −7 + 0.9x
Explanation:
Correct answer: f(x) = −7 + 0.9x
Question 1
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About this Exam

Prepare with the AP Precalculus Practice Test UNIT 1 practice quiz. This question bank includes 25 questions covering function, polynomial, graph, frac, and cost. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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AP Precalculus Practice Test UNIT 1

This practice set contains 25 questions from the matching question bank and focuses on function, polynomial, graph, frac, and cost. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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