Activity 1: Let's Compute! Directions: Investigate the discontinuity by using the three conditions. 1. f(x) 2 where c=-4 x+4 4x - 2 if x s 2 2. f (x) = where c=2 -2x + 5 if x > 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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answer activity 1: #1 & #2 please! thank u

TOPIC: Continuity of a Function
A function f (x) is said to be continuous at the number if all the following three conditions are satisfied:
a. f (a) exists
b. lim f (x) exists
x→a
c. lim f(x) = f(a)
Activity 1: Let's Compute!
Directions: Investigate the discontinuity by using the three conditions.
1. f (x) =
2
where c=-4
x+4
4x - 2
if x s 2
2.
f (x) =
where c=2
-2x + 5
if x > 2
Transcribed Image Text:TOPIC: Continuity of a Function A function f (x) is said to be continuous at the number if all the following three conditions are satisfied: a. f (a) exists b. lim f (x) exists x→a c. lim f(x) = f(a) Activity 1: Let's Compute! Directions: Investigate the discontinuity by using the three conditions. 1. f (x) = 2 where c=-4 x+4 4x - 2 if x s 2 2. f (x) = where c=2 -2x + 5 if x > 2
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