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Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f (x) is a real number. Let f be the function defined above, where k is a constant. f (x) (a) For what value of k, if any, is f continuous at x = -2? Justify your answer. = x²+kx-2 3x2+4x+3 x³+2 0 2e² 2-e for x < -2 for 2 0

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f (x) is a real number. Let f be the function defined above, where k is a constant. f (x) (a) For what value of k, if any, is f continuous at x = -2? Justify your answer. = x²+kx-2 3x2+4x+3 x³+2 0 2e² 2-e for x < -2 for 2 0

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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Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers æ for which ƒ (x) is a real number. Let f be the function defined above, where k is a constant. ƒ (x) = (a) For what value of k, if any, is f continuous at x = −2 ? Justify your answer. x²+kx-2 3x²+4x+3 x³ + 2 0 2e™ 2-ex for x < -2 for − 2 ≤ x < 0 for x = = 0 for x > 0
Transcribed Image Text:Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers æ for which ƒ (x) is a real number. Let f be the function defined above, where k is a constant. ƒ (x) = (a) For what value of k, if any, is f continuous at x = −2 ? Justify your answer. x²+kx-2 3x²+4x+3 x³ + 2 0 2e™ 2-ex for x < -2 for − 2 ≤ x < 0 for x = = 0 for x > 0
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