Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.7 - Combining Functions - 2.7 Exercises - Page 216: 25

Answer

See image:

Work Step by Step

Work done in desmos.com (online graphic calculator) The graph of f is red, dashed, th graph of g is blue, dotted. Note that the domain of (f+g) is the intersection of the domains of f and g, which, in this case, is the whole set of real numbers. The yellow arrows are examples showing that the y-coordinate on the graph of f increases (or decreases) by the amount : g(x), resulting with a point on the graph of (f+g).
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