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AP Precalculus Practice Test UNIT 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.

Sample Questions

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?
y= \frac{x} {x^{2} - 4}
c(t) = \frac{349.99 + 121.67t} {t} .
The function f(x) has exactly one or three real zeros in the interval [3, 4].
5
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).
-6
c(t) = \frac{349.99 + 121.67t} {t} .
x 2 + h 2 + 2xh − 4x − 4h + 1
y= \frac{x} {x^{2} - 4}
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} .
24
y= \frac{x} {x^{2} - 4}
c(t) = \frac{349.99 + 121.67t} {t} .
The function f(x) has exactly one or three real zeros in the interval [3, 4].
Explanation:
Correct answer: c(t) = \frac{349.99 + 121.67t} {t} .
Question 4
Which of the following equations could represent the graph shown below?
y= \frac{x} {x^{2} - 4}
110
-4.8°F/min
5
Explanation:
Correct answer: y= \frac{x} {x^{2} - 4}
Question 5
Which of the following linear functions are increasing?
25
c(t) = \frac{349.99 + 121.67t} {t} .
x 2 + h 2 + 2xh − 4x − 4h + 1
f(x) = −7 + 0.9x
Explanation:
Correct answer: f(x) = −7 + 0.9x

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Additional Information

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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Frequently Asked Questions

This quiz contains a total of 25 practice questions carefully selected to test your knowledge on this subject.
Yes, you will have exactly 0 minutes to complete the exam. A countdown timer will be visible once you start.
Yes, you can retake this practice test as many times as you need. The questions and options may be randomized on subsequent attempts to ensure comprehensive learning.

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