f(x)={x^2-8x+16, if x < or = 3 ax+b, if x > 3 find a and b such that the function f(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.)
f(x)={x^2-8x+16, if x < or = 3 ax+b, if x > 3 find a and b such that the function f(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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Let f(x)={x^2-8x+16, if x < or = 3 ax+b, if x > 3
find a and b such that the function f(x) is differentiable everywhere. (HINT: First use differentiability to find a. Then use continuity to find b.)
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