What values of a and b will make the function f continuous at x=2 and x=3? * x2 - 4 if x < 2 x - 2 ax2 - bx +3 f(x) = %3D if 2 3 2x – a +b O a = 1/2; b=1/2 O a=3/4; b=1/2 a=1/2; b=3/4 a=1; b=1

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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What values of a and b will make the function f continuous at x=2 and x=3?
x2 - 4
if x < 2
-
f(x) =
a.x² –
2x – a +b if
bx + 3
if 2 <x < 3
-
x > 3
-
O a = 1/2; b=1/2
%3D
O a=3/4; b=1/2
O a=1/2; b=3/4
O a=1; b=1
Transcribed Image Text:What values of a and b will make the function f continuous at x=2 and x=3? x2 - 4 if x < 2 - f(x) = a.x² – 2x – a +b if bx + 3 if 2 <x < 3 - x > 3 - O a = 1/2; b=1/2 %3D O a=3/4; b=1/2 O a=1/2; b=3/4 O a=1; b=1
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