AP®︎ Precalculus: Topic 1.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.6 of AP Precalculus – Polynomial Functions and End Behavior.

Questions List

Topic 1.6

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15

Question 1 Easy

Let f(x)=−3x4+5x2−x+7f(x)=-3x^4+5x^2-x+7.

Which of the following describes the end behavior of ff?

Alim⁡x→−∞f(x)=∞\lim_{x\to-\infty}f(x)=\infty and lim⁡x→∞f(x)=∞\lim_{x\to\infty}f(x)=\infty.
Blim⁡x→−∞f(x)=∞\lim_{x\to-\infty}f(x)=\infty and lim⁡x→∞f(x)=−∞\lim_{x\to\infty}f(x)=-\infty.
Clim⁡x→−∞f(x)=−∞\lim_{x\to-\infty}f(x)=-\infty and lim⁡x→∞f(x)=∞\lim_{x\to\infty}f(x)=\infty.
Dlim⁡x→−∞f(x)=−∞\lim_{x\to-\infty}f(x)=-\infty and lim⁡x→∞f(x)=−∞\lim_{x\to\infty}f(x)=-\infty.

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 1.6: Polynomial Functions and End Behavior

Learning Objective: 1.6.A

Describe end behaviors of polynomial functions.

Essential Knowledge: 1.6.A.1

As input values of a nonconstant polynomial function increase without bound, the output values will either increase or decrease without bound. The corresponding mathematical notation is lim⁡x→∞p(x)=∞\lim_{x \to \infty} p(x) = \infty or lim⁡x→∞p(x)=−∞\lim_{x \to \infty} p(x) = -\infty.

Essential Knowledge: 1.6.A.2

As input values of a nonconstant polynomial function decrease without bound, the output values will either increase or decrease without bound. The corresponding mathematical notation is lim⁡x→−∞p(x)=∞\lim_{x \to -\infty} p(x) = \infty or lim⁡x→−∞p(x)=−∞\lim_{x \to -\infty} p(x) = -\infty.

Essential Knowledge: 1.6.A.3

The degree and sign of the leading term of a polynomial determines the end behavior of the polynomial function, because as the input values increase or decrease without bound, the values of the leading term dominate the values of all lower-degree terms.

Also applying to college?Free college essay reviewGet your college essay graded