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For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4

For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4

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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For the function \[ f(x) = \begin{cases} 2x - 3, & 0 \leq x < 4 \\ 7, & x = 4 \\ x^2 - 8x + 21, & 4 < x \end{cases} \] use algebra to find each of the following limits: \[ \lim_{{x \to 4^+}} f(x) = \] \[ \lim_{{x \to 4^-}} f(x) = \] \[ \lim_{{x \to 4}} f(x) = \] (For each, enter DNE if the limit does not exist.) Sketch a graph of \( f(x) \) to confirm your answers.
Transcribed Image Text:For the function \[ f(x) = \begin{cases} 2x - 3, & 0 \leq x < 4 \\ 7, & x = 4 \\ x^2 - 8x + 21, & 4 < x \end{cases} \] use algebra to find each of the following limits: \[ \lim_{{x \to 4^+}} f(x) = \] \[ \lim_{{x \to 4^-}} f(x) = \] \[ \lim_{{x \to 4}} f(x) = \] (For each, enter DNE if the limit does not exist.) Sketch a graph of \( f(x) \) to confirm your answers.
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