CourseCourseConceptConceptDocumentDocument

AP Calculus BC Lim 2 D Interpret the Behavior of Functions Using Limits Involving Infinity Questions

Practise AP Calculus BC 1.14 questions by matching one-sided and end-behaviour limits to graphs with vertical and horizontal asymptotes.

Syllabus
Effective Fall 2020
Course
AP Calculus BC

Exam points

  • Match one-sided infinite limits to a graph's vertical-asymptote behaviour near x-values.
  • Use end-behaviour limits to identify horizontal asymptotes and reject incompatible graphs.

AP Calculus BC Lim 2 D Interpret the Behavior of Functions Using Limits Involving Infinity Questions question 1

[Maximum number: 1]

The function f has the property that lim⁡x→1−f(x)=+∞,lim⁡x→1+f(x)=−∞,lim⁡x→−∞f(x)=2\lim _{x \rightarrow 1^{-}} f(x)=+\infty, \lim _{x \rightarrow 1^{+}} f(x)=-\infty, \lim _{x \rightarrow-\infty} f(x)=2, and lim⁡x→+∞f(x)=2\lim _{x \rightarrow+\infty} f(x)=2. Of the following, which could be the graph of f ?

A
Figure for Question AP Calculus BC Lim 2 D Interpret the Behavior of Functions Using Limits Involving Infinity Questions question 1 — AP Calculus BC — Option A
B
Figure for Question AP Calculus BC Lim 2 D Interpret the Behavior of Functions Using Limits Involving Infinity Questions question 1 — AP Calculus BC — Option B
C
Figure for Question AP Calculus BC Lim 2 D Interpret the Behavior of Functions Using Limits Involving Infinity Questions question 1 — AP Calculus BC — Option C
D
Figure for Question AP Calculus BC Lim 2 D Interpret the Behavior of Functions Using Limits Involving Infinity Questions question 1 — AP Calculus BC — Option D
All question bank results loaded