f(x) = b сos(x) - 2 3x² - ax + b 2x - 4a { x ≤ 1 ax+b 1 < x < 2 x>2

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...
Question

Find the values of a and b that make f continuous at all points in its domain. For a complete solution, it is recommended to make explicit reference to the definition of continuity at a point in your work.

f(x) =
{
b сos(πx) - 2
3x²
2x - 4a
x < 1
ax + b 1 < x < 2
x > 2
Transcribed Image Text:f(x) = { b сos(πx) - 2 3x² 2x - 4a x < 1 ax + b 1 < x < 2 x > 2
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