AP®︎ Precalculus: Topic 1.8 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.8 of AP Precalculus – Rational Functions and Zeros.

Questions List

Topic 1.8

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Q10
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Q14

Question 1 Easy

Let r(x)=(x+3)(2x−5)(x−4)(x+1)r(x)=\dfrac{(x+3)(2x-5)}{(x-4)(x+1)}. What are the zeros of rr?

Ax=−3x=-3 and x=52x=\frac{5}{2}
Bx=−3x=-3, x=52x=\frac{5}{2}, x=4x=4, and x=−1x=-1
Cx=3x=3 and x=−52x=-\frac{5}{2}
Dx=4x=4 and x=−1x=-1

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 1.8: Rational Functions and Zeros

Learning Objective: 1.8.A

Determine the zeros of rational functions.

Essential Knowledge: 1.8.A.1

The real zeros of a rational function correspond to the real zeros of the numerator for such values in its domain.

Essential Knowledge: 1.8.A.2

The real zeros of both polynomial functions of a rational function rr are endpoints or asymptotes for intervals satisfying the rational function inequalities r(x)≥0r(x) \ge 0 or r(x)≤0r(x) \le 0.

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