14. Determine the constraints a and b such that f(x) is continuous for all values of x. ax - b x ≤ 1 x-2' f(x) = 1 < x < 2 bx² - a, x ≥ 2 -3x,

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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14. Determine the constraints a and b such that f(x) is continuous for all values of x.
ax - b
x ≤ 1
X-
f(x) =
-3x,
1<x<2
bx²
x ≥ 2
2'
a,
Transcribed Image Text:14. Determine the constraints a and b such that f(x) is continuous for all values of x. ax - b x ≤ 1 X- f(x) = -3x, 1<x<2 bx² x ≥ 2 2' a,
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