lim f(x) = 3 x→2* lim f(x) = 0 X-→2 f(2) = 3 lim f(x)= -2 X--1 f(-1) = 1 b. Is f(x) continuous at x = 2? Use the definition of continuity to explain your answer.

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
Question
Please solve part ‘B’. Thank you!
2. a. Draw a graph with the following characteristics:
lim f(x) = 3
X-2*
lim f(x) = 0
X-→2
f(2) = 3
lim f(x) = -2
X->-1
f(-1) = 1
b. Is f(x) continuous at x = 2? Use the definition of continuity to explain your answer.
c. Is f(x) continuous at x = -1? Use the definition of continuity to explain your answer.
Transcribed Image Text:2. a. Draw a graph with the following characteristics: lim f(x) = 3 X-2* lim f(x) = 0 X-→2 f(2) = 3 lim f(x) = -2 X->-1 f(-1) = 1 b. Is f(x) continuous at x = 2? Use the definition of continuity to explain your answer. c. Is f(x) continuous at x = -1? Use the definition of continuity to explain your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Linear Equations
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax