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4) The function fis defined by f(x) = √289 - x² for -17 ≤ x ≤ 17. a) Find f'(x). b) Write the equation for the tangent line to the graph of f at x = -8. (f(x), -17 ≤ x < 5 √x + 7, 5 ≤ x ≤ 17 Is g continuous at x = 5? Use the definition of continuity to justify your answer. c) Let g be the function defined by g(x) = =

4) The function fis defined by f(x) = √289 - x² for -17 ≤ x ≤ 17. a) Find f'(x). b) Write the equation for the tangent line to the graph of f at x = -8. (f(x), -17 ≤ x < 5 √x + 7, 5 ≤ x ≤ 17 Is g continuous at x = 5? Use the definition of continuity to justify your answer. c) Let g be the function defined by g(x) = =

Calculus: Early Transcendentals
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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4) The function fis defined by f(x) = √289-x² for -17 ≤ x ≤ 17. a) Find f'(x). b) Write the equation for the tangent line to the graph of f at x = -8. c) Let g be the function defined by g(x) = {f(x) -17 ≤ x <5 5 ≤ x ≤ 17 Is g continuous at x = 5? Use the definition of continuity to justify your answer.
Transcribed Image Text:4) The function fis defined by f(x) = √289-x² for -17 ≤ x ≤ 17. a) Find f'(x). b) Write the equation for the tangent line to the graph of f at x = -8. c) Let g be the function defined by g(x) = {f(x) -17 ≤ x <5 5 ≤ x ≤ 17 Is g continuous at x = 5? Use the definition of continuity to justify your answer.
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