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In Exercises 45-48, refer to the following table. The left-hand column of the table lists four errors to avoid in working with function notation. In each case, use the function f(x) = x² - 1 and give a numerical example showing that the expressions on each side of the equation are not equal. Errors to Avoid 45. f(a + b) = f(a) + f(b) 46. f(ab) = f(a) f(b) 47. fl a f(a) = a 1 f(a) Numerical Example Showing That the Equation Is Not, in General, Valid

In Exercises 45-48, refer to the following table. The left-hand column of the table lists four errors to avoid in working with function notation. In each case, use the function f(x) = x² - 1 and give a numerical example showing that the expressions on each side of the equation are not equal. Errors to Avoid 45. f(a + b) = f(a) + f(b) 46. f(ab) = f(a) f(b) 47. fl a f(a) = a 1 f(a) Numerical Example Showing That the Equation Is Not, in General, Valid

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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In Exercises 45-48, refer to the following table. The left-hand column of the table lists four errors to avoid in working with function notation. In each case, use the function f(x) = x² - 1 and give a numerical example showing that the expressions on each side of the equation are not equal. Errors to Avoid 45. f(a + b) = f(a) + f(b) 46. f(ab) = f(a) f(b) 47. fl a f(a) = a 1 f(a) Numerical Example Showing That the Equation Is Not, in General, Valid
Transcribed Image Text:In Exercises 45-48, refer to the following table. The left-hand column of the table lists four errors to avoid in working with function notation. In each case, use the function f(x) = x² - 1 and give a numerical example showing that the expressions on each side of the equation are not equal. Errors to Avoid 45. f(a + b) = f(a) + f(b) 46. f(ab) = f(a) f(b) 47. fl a f(a) = a 1 f(a) Numerical Example Showing That the Equation Is Not, in General, Valid
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