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2) Let f be the function given by f(x) = 7xe¹*. a) Find lim f(x) & lim f(x). X118 818 b) Find the absolute minimum value off. Justify that your answer is an absolute minimum c) What is the range of f?

2) Let f be the function given by f(x) = 7xe¹*. a) Find lim f(x) & lim f(x). X118 818 b) Find the absolute minimum value off. Justify that your answer is an absolute minimum c) What is the range of f?

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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**Question 2** Let \( f \) be the function given by \( f(x) = 7xe^{7x} \). a) Find \( \lim_{x \to -\infty} f(x) \) and \( \lim_{x \to \infty} f(x) \). b) Find the absolute minimum value of \( f \). Justify that your answer is an absolute minimum. c) What is the range of \( f \)?
Transcribed Image Text:**Question 2** Let \( f \) be the function given by \( f(x) = 7xe^{7x} \). a) Find \( \lim_{x \to -\infty} f(x) \) and \( \lim_{x \to \infty} f(x) \). b) Find the absolute minimum value of \( f \). Justify that your answer is an absolute minimum. c) What is the range of \( f \)?
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