ƒ(x) = = ax² + 3x + b 9x² - 6x + 2a if x ≤ 0, if x > 0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Question
Consider the function f defined by the formula
f(x) =
ax² + 3x + b
9x² - 6x + 2a
if x ≤ 0,
if x > 0.
Determine the values of a and b for which f is differentiable at x =
= 0.
Transcribed Image Text:Consider the function f defined by the formula f(x) = ax² + 3x + b 9x² - 6x + 2a if x ≤ 0, if x > 0. Determine the values of a and b for which f is differentiable at x = = 0.
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