College Admissions AP Prep SAT PrepNew Pricing Contact us

AP®︎ Precalculus: Topic 4.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.3 of AP Precalculus – Parametric Functions and Rates of Change.

Questions List

Topic 4.3

Q10

Q11

Q12

Q13

Q14

Q15

Q16

Q17

Q18

Q19

Q20

Q21

Question 1 Easy

A particle's position at time $t$ is $(x(t),y(t))$ . The function $x(t)$ is decreasing on $0<t<4$ and increasing on $4<t<7$ . The function $y(t)$ is increasing on $0<t<2$ and decreasing on $2<t<7$ .

Which describes the particle's motion as $t$ increases on $4<t<7$ ?

AUp and to the right

BDown and to the left

CUp and to the left

DDown and to the right

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 4.3: Parametric Functions and Rates of Change

Learning Objective: 4.3.A

Identify key characteristics of a parametric planar motion function that are related to direction and rate of change.

Essential Knowledge: 4.3.A.1

As the parameter increases, the direction of planar motion of a particle can be analyzed in terms of $x$ and $y$ independently. If $x(t)$ is increasing or decreasing, the direction of motion is to the right or left, respectively. If $y(t)$ is increasing or decreasing, the direction of motion is up or down, respectively.

Essential Knowledge: 4.3.A.2

At any given point in the plane, the direction of planar motion may be different for different values of $t$ .

Essential Knowledge: 4.3.A.3

The same curve in the plane can be parametrized in different ways and can be traversed in different directions with different parametric functions.

Essential Knowledge: 4.3.A.4

Over a given interval $[t_1, t_2]$ within the domain, the average rate of change can be computed for $x(t)$ and $y(t)$ independently. The ratio of the average rate of change of $y$ to the average rate of change of $x$ gives the slope of the graph between the points on the curve corresponding to $t_1$ and $t_2$ , so long as the average rate of change of $x(t) \ne 0$ .

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

AP®︎ Precalculus: Topic 4.3 Practice Test

Question 1 Easy

What You’re Being Tested On:

Learning Objective 4.3.A: 4.3.A.1, 4.3.A.2, 4.3.A.3, 4.3.A.4