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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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I've found the limits, but I'm having trouble finding a and b without the equations zeroing out. 

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
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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