The function g (x) is defined as follows: 2x - k 16x - 21 2x Xs 1 1 3 9(x) = a) Find the value of k such that g(x) is continuous at x 1. b) Determine whether the function is continuous at x = 3.
The function g (x) is defined as follows: 2x - k 16x - 21 2x Xs 1 1 3 9(x) = a) Find the value of k such that g(x) is continuous at x 1. b) Determine whether the function is continuous at x = 3.
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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Transcribed Image Text:а.
The function g (x) is defined as follows:
2x - k
3 (x ) 6
XS 1
1 <x s 3
x > 3
16x
21
2x
a) Find the value of k such that g (x) is continuous at x = 1.
b) Determine whether the function is continuous at x = 3.
b Find the possible value for each of the constants a and b that will make the function
f(x) continuous everywhere.
2x + x + 10,
X S -3
a (x + 2) + b, -2 < x s 3
x - 5.
f(x)% =
x > 3
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