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Determine if the function is continuous or not (using the definition) at the given z value. Then, Use the limit definition of the derivative to determine if the following functions are differentiable at the given point. Practice using correct mathematical grammar and consistent notation to construct a logical, easy to follow argument. Use Desmos to check your work! PLEASE: Plug the value a in for a before you begin to evaluate the limit. (a) g(x)=5√x+4 when x = 12

Determine if the function is continuous or not (using the definition) at the given z value. Then, Use the limit definition of the derivative to determine if the following functions are differentiable at the given point. Practice using correct mathematical grammar and consistent notation to construct a logical, easy to follow argument. Use Desmos to check your work! PLEASE: Plug the value a in for a before you begin to evaluate the limit. (a) g(x)=5√x+4 when x = 12

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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Determine if the function is continuous or not (using the definition) at the given z value. Then, Use the limit definition of the derivative to determine if the following functions are differentiable at the given point. Practice using correct mathematical grammar and consistent notation to construct a logical, easy to follow argument. Use Desmos to check your work! PLEASE: Plug the value a in for a before you begin to evaluate the limit. (a) g(x) = 5√√x + 4 when x = 12 (b) f(x) = (c) f(x) = (d) f(x) = 2x²+3 4x + 1 2x² +3 4x + 1 2x² +3 4x + 1 x≤1 x>1 x≤1 x>1 x ≤ 1 x>1 when x = 0 when x = 3 when x = 1 (e) h(x) = |x-4 when x = 4 (f) h(x) = |x4| when x = 6 MacBook Pro
Transcribed Image Text:Determine if the function is continuous or not (using the definition) at the given z value. Then, Use the limit definition of the derivative to determine if the following functions are differentiable at the given point. Practice using correct mathematical grammar and consistent notation to construct a logical, easy to follow argument. Use Desmos to check your work! PLEASE: Plug the value a in for a before you begin to evaluate the limit. (a) g(x) = 5√√x + 4 when x = 12 (b) f(x) = (c) f(x) = (d) f(x) = 2x²+3 4x + 1 2x² +3 4x + 1 2x² +3 4x + 1 x≤1 x>1 x≤1 x>1 x ≤ 1 x>1 when x = 0 when x = 3 when x = 1 (e) h(x) = |x-4 when x = 4 (f) h(x) = |x4| when x = 6 MacBook Pro
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