5. Find all constants a, b that make f continuous everywhere. (Use limits and definition of continuity) =fax² =ax² f(x): 3x + 5 if x ≤-2 + bx + 3 if x € (-2,3) 5x - 1 if x ≥ 3
5. Find all constants a, b that make f continuous everywhere. (Use limits and definition of continuity) =fax² =ax² f(x): 3x + 5 if x ≤-2 + bx + 3 if x € (-2,3) 5x - 1 if x ≥ 3
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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I've found the limits, but I'm having trouble finding a and b without the equations zeroing out.
Transcribed Image Text:5.
Find all constants a, b that make ƒ continuous everywhere.
(Use limits and definition of continuity)
3x +5 if x ≤ −2
ax² + bx + 3 if x € (−2, 3)
5x1 if x ≥ 3
ƒ(x) :
>= {ax²
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How are you getting a negative for a and where is the equation coming from for b?
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