Define a function x²+x-2. x-1 x + 1, f(x) = x = 1, a) Find the value of k so that f(x) is a continuous function for all real numbers x. b) For the value of k you found, is f(x) differentiable at x = 1? Briefly explain.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Define a function
x²+x-2.
x-1
x + 1,
f(x) =
x = 1,
a)
Find the value of k so that f(x) is a continuous function for all real numbers
x.
b)
For the value of k you found, is f(x) differentiable at x = 1? Briefly explain.
Transcribed Image Text:Define a function x²+x-2. x-1 x + 1, f(x) = x = 1, a) Find the value of k so that f(x) is a continuous function for all real numbers x. b) For the value of k you found, is f(x) differentiable at x = 1? Briefly explain.
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