Consider f(x) = (x + c cx² +5 for x < 3, for x ≥ 3 For what value of the constant c is f continuous for all real numbers?

College Algebra
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Author:Jay Abramson
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Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 8SE: Find all function values f(x) such that the distance from f(x) to the value 8 is less than 0.03...
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Consider f(x)
{ x + c
cx²+5
for x < 3,
for x ≥3
For what value of the constant c is f continuous
for all real numbers?
Transcribed Image Text:Consider f(x) { x + c cx²+5 for x < 3, for x ≥3 For what value of the constant c is f continuous for all real numbers?
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