x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make f(x) continuous. Consider the function f(x) = a = if if -91 if b =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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Consider the function f(x)
a =
x²
x ≤ - 3
ax + b
- 3 < x < 4
x³ + 4x - 91
x ≥ 4
Determine the values of the constants a and b that make f(x) continuous.
b =
- x - 2
if
if
if
Transcribed Image Text:Consider the function f(x) a = x² x ≤ - 3 ax + b - 3 < x < 4 x³ + 4x - 91 x ≥ 4 Determine the values of the constants a and b that make f(x) continuous. b = - x - 2 if if if
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