Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 15 - Section 15.1 - Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 1094: 18

Answer

Neither a linear nor an interaction function.

Work Step by Step

$f(x,y) = x+y+xy+x^2y$ The function has x to the power of 2, therefore it is not a linear function. However, the term of $+x^2y$ has also the product of two variables in it but as these terms are both in the function, it is neither a linear nor an interaction function.
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