# find constants a and b such that f(2) +3 = f(0) and f is continuouspiecewise f(x) = ax + b , if x>13 , if x = 1x^2 -4x + b +3 , if x less than or equal to 1

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Question

find constants a and b such that f(2) +3 = f(0) and f is continuous

piecewise f(x) = ax + b , if x>1
3 , if x = 1
x^2 -4x + b +3 , if x less than or equal to 1

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