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A student recognizes that given the function f(x), they are able to simplify the function as follows: 2²-3x - 4 x+1 (x + 1)(x-4) x+1 =x-4 From this the student decides that since the slope of the resulting line is 1, they conclude that f'(-1)= 1. Explain the error in this conclusion. it.

A student recognizes that given the function f(x), they are able to simplify the function as follows: 2²-3x - 4 x+1 (x + 1)(x-4) x+1 =x-4 From this the student decides that since the slope of the resulting line is 1, they conclude that f'(-1)= 1. Explain the error in this conclusion. it.

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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SE NO CAN WON AT N LOVE ME THE ONE AND IN A student recognizes that given the function f(x), they are able to simplify the function as follows: f(x) = x²-3x - 4 x+1 (x + 1)(x-4) x + 1 =x-4 From this the student decides that since the slope of the resulting line is 1, they conclude that f'(-1) = 1. Explain the error in this conclusion. it
Transcribed Image Text:SE NO CAN WON AT N LOVE ME THE ONE AND IN A student recognizes that given the function f(x), they are able to simplify the function as follows: f(x) = x²-3x - 4 x+1 (x + 1)(x-4) x + 1 =x-4 From this the student decides that since the slope of the resulting line is 1, they conclude that f'(-1) = 1. Explain the error in this conclusion. it
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