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The function y=f(x) is given by a piecewise defined function shown below if x < 2 kx + 5 1 if x = 2 c(x + 2)² + d if x > 2 f(x) = { Suppose the function is continuous and differentiable. Determine values of k, c and d following these steps below. (a) Find lim f(x) and lim f(x). Note the function is continuous. x→2- x→2+ ƒ(2+h)-f(2) h (b) Find lim h→0- function is differentiable. 9 and lim h→0+ (c) What are the values of k, c, and d that you found? Enter the value k in the blank below. ƒ(2+h)-f(2) h . Note the

The function y=f(x) is given by a piecewise defined function shown below if x < 2 kx + 5 1 if x = 2 c(x + 2)² + d if x > 2 f(x) = { Suppose the function is continuous and differentiable. Determine values of k, c and d following these steps below. (a) Find lim f(x) and lim f(x). Note the function is continuous. x→2- x→2+ ƒ(2+h)-f(2) h (b) Find lim h→0- function is differentiable. 9 and lim h→0+ (c) What are the values of k, c, and d that you found? Enter the value k in the blank below. ƒ(2+h)-f(2) h . Note the

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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The function y=f(x) is given by a piecewise defined function shown below kx + 5 if x < 2 1 if x = 2 c(x + 2)² + d if x > 2 f(x) = Suppose the function is continuous and differentiable. Determine values of k, c and d following these steps below. (a) Find lim f(x) and lim f(x). Note the function is continuous. x→2- x→2+ (b) Find_lim_ƒ(2+h)-f(2) h h→0- function is differentiable. and lim h→0+ (c) What are the values of k, c, and d that you found? Enter the value k in the blank below. f(2+h)-f(2) h Note the
Transcribed Image Text:The function y=f(x) is given by a piecewise defined function shown below kx + 5 if x < 2 1 if x = 2 c(x + 2)² + d if x > 2 f(x) = Suppose the function is continuous and differentiable. Determine values of k, c and d following these steps below. (a) Find lim f(x) and lim f(x). Note the function is continuous. x→2- x→2+ (b) Find_lim_ƒ(2+h)-f(2) h h→0- function is differentiable. and lim h→0+ (c) What are the values of k, c, and d that you found? Enter the value k in the blank below. f(2+h)-f(2) h Note the
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