.. (a) On the grid below, draw a function f that is not continuous at a = 2, but lim f(x) = 1. (b) On the grid below, draw a function f that is defined everywhere and whose limit lim f(x) is undefined. (c) Are the functions you drew above continuous at a = 2 i. from the left? ii. from the right?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
icon
Related questions
Topic Video
Question
Can you help me please
1. (a) On the grid below, draw a function ƒ that is not continuous at x = 2, but
lim f(x) = 1.
(b) On the grid below, draw a function f that is defined everywhere and whose limit
lim f(x) is undefined.
(c) Are the functions you drew above continuous at x = 2
i. from the left?
ii. from the right?
Transcribed Image Text:1. (a) On the grid below, draw a function ƒ that is not continuous at x = 2, but lim f(x) = 1. (b) On the grid below, draw a function f that is defined everywhere and whose limit lim f(x) is undefined. (c) Are the functions you drew above continuous at x = 2 i. from the left? ii. from the right?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning