Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.4 Library of Functions; Piecewise-defined Functions - 2.4 Assess Your Understanding - Page 90: 1


Refer to the graph below.

Work Step by Step

Create a table of values by assigning values to $x$ then solve fot the corresponding value of $y$ for each $x$ to obtain: \begin{array}{ccc} &x &y &(x, y)\\ &0 &0 &(0, 0)\\ &2 &2\sqrt2&(2, 2\sqrt2)\\ &4 &2 &(4, 2)\\ &8 &2\sqrt2 &(8, 2\sqrt2)\\ &16 &4 &(16,4)\\ \end{array} Plot the points then connect them using a smooth curve. Refer to the graph above.
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