For what value of the number k is the following function continuous at r=2 if x < 2, if x = 2, if x > 2 f(x) = = (A) 3 (B) 2 (C) (D) All values of k work 1-x² k 3r-9 -3 (E) No such value of k exists

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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8
For what value of the number k is the following function continuous at x = 2
if x < 2,
1 - x²
k
if x = 2,
3x - - 9
if x > 2
f(x)
(A) 3
(B) 2
(D) All values of k work
(C) -3
(E) No such value of k exists
Transcribed Image Text:For what value of the number k is the following function continuous at x = 2 if x < 2, 1 - x² k if x = 2, 3x - - 9 if x > 2 f(x) (A) 3 (B) 2 (D) All values of k work (C) -3 (E) No such value of k exists
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