Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 44


Domain: $ t\leq 2 $ Range: All real numbers.

Work Step by Step

Because we can only take the square root of values that are 0 or greater, we set $\sqrt (2-t) \geq 0 $ Square both sides to get $ 2-t \geq 0 $, then add t to both sides to get $t \leq 2 $. The range of a square root function is all real numbers, because the root of the function includes both positive and negative values.
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