Problem 2: You are given the step function below, where b is a real number: -6b, x ≥2 f(x) = {b²x 8, x < 2 (a) Find lim f(x) and lim f(x). x→2- x→2+ (b) Then, determine values of b so that f(x) is continuous at every x. -

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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You are given the step function below, where b is a real number:

?(?) = {?^2? − 6?, ? ≥ 2

            {8, ?<2

(a) Find lim ?(?)?→2− ??? lim ?(?) ?→2+

(b) Then, determine values of b so that f(x) is continuous at every x.

Problem 2: You are given the step function below, where b is a real number:
f(x) = {b2²)
Sb²x.
- 6b,
x ≥ 2
x < 2
(a) Find lim f(x) and lim f(x).
(b) Then, determine values of b so that f(x) is continuous at every x.
Transcribed Image Text:Problem 2: You are given the step function below, where b is a real number: f(x) = {b2²) Sb²x. - 6b, x ≥ 2 x < 2 (a) Find lim f(x) and lim f(x). (b) Then, determine values of b so that f(x) is continuous at every x.
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