11th Grade Limit Basics Quizzes, Questions & Answers

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Connections Between Function Features And Limits

Connections Between Function Features And Limits

What does different limits information tell us about the features of a function?

Questions: 5 | Attempts: 475 | Last updated: Mar 20, 2025

Sample Question 1
Select all the places to look for extreme points (maxima, minima):

Where the instantaneous rate of change is zero

Where the instantaneous rate of change does not exist

At the endpoints of the interval of interest

Where the function value is zero

Sample Question 2
Which of the following must be true if a function f(x) does not have a minimum on an interval [a,b].

F(x) must approach negative infinity somewhere in the interval [a,b]

F(x) must have a discontinuity on [a,b]

F(a) must be greater than f(b)

F(x) must have a maximum on the interval [a,b]

Sample Question 3
Which existence theorem allows use to use guess-and-check to solve equations which can be written in the form F(x) = 0 for a continuous function F?

The Intermediate Value Theorem

The Mean Value Theorem

The Extreme Value Theorem

Rolle's Theorem