Consider the function f(x) = { 4x² =−x+5c_if x ≤ 2 - 4x if x > 2 For what value of c is the function continuous at 2?

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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Consider the function 

Consider the function
f(x) = {3cm² - 4x
4x²-x+ 5c if x ≤ 2
if x > 2
For what value of c is the function continuous at 2?
(Round your answer to two decimal places.)
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Transcribed Image Text:Consider the function f(x) = {3cm² - 4x 4x²-x+ 5c if x ≤ 2 if x > 2 For what value of c is the function continuous at 2? (Round your answer to two decimal places.) # No new data to save. Last che $ do
Expert Solution
Step 1: given information

given function f left parenthesis x right parenthesis equals open curly brackets table row cell 4 x squared minus x plus 5 c end cell cell i f space x less or equal than 2 end cell row cell 3 c x squared minus 4 x end cell cell i f space x greater than 2 end cell end table close

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