Answer
$a=12,b=2$
Work Step by Step
Plugging in the given points' coordinates, our equations are:
$4=\frac{a}{1^2+b}=\frac{a}{1+b}\\4+4b=a$ and $2=\frac{a}{(-2)^2+b}=\frac{a}{4+b}\\8+2b=a$
Thus $4+4b=8+2b\\2b=4\\b=2$
And $a=4+4(2)=12$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 8 Rational Functions - 8.3 Graph General Rational Functions - 8.3 Exercises - Skill Practice - Page 569: 29
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