3x -1 when x<2 1. Given f(x)= 4x + b when x> 2 Find a value for b that satisfies the requirement for the function to have a limit as x2. Show some work/reasoning. b. Now that you have created a function with a limit as x→2, is this new function continuous at x = 2? а. Explain. Your explanation should reference the 3 requirements for continuity. c. If you determined your new function with "b" replaced by the limit value was in fact discontinuous, what kind of discontinuity is it? d. Create of function g(x) that is almost identical to f, but make g a function continuous on (-0,00).
3x -1 when x<2 1. Given f(x)= 4x + b when x> 2 Find a value for b that satisfies the requirement for the function to have a limit as x2. Show some work/reasoning. b. Now that you have created a function with a limit as x→2, is this new function continuous at x = 2? а. Explain. Your explanation should reference the 3 requirements for continuity. c. If you determined your new function with "b" replaced by the limit value was in fact discontinuous, what kind of discontinuity is it? d. Create of function g(x) that is almost identical to f, but make g a function continuous on (-0,00).
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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