Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.6 - Combinations of Functions: Composite Functions - 2.6 Exercises - Page 219: 3


See graph

Work Step by Step

We have: $f(0)=2$ $f(1)=3$ $f(2)=1$ $f(3)=2$ $g(0)=-1$ $g(1)=0$ $g(2)=0.5$ $g(3)=0$ Compute $h(x)=(f+g)(x)$ for the given points: $h(0)=(f+g)(0)=f(0)+g(0)=2+(-1)=1$ $h(1)=(f+g)(1)=f(1)+g(1)=3+0=3$ $h(2)=(f+g)(2)=f(2)+g(2)=1+0.5=1.5$ $h(3)=(f+g)(3)=f(3)+g(3)=2+0=2$ Plot the points corresponding to $h(x)$ and join them with lines:
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