Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.1 - Functions - Exercises - Page 157: 78

Answer

Domain: (- infinity, infinity) Range: {1} U {x|x is irrational number}

Work Step by Step

f(x) is defined for all real numbers. This means that the domain of f is set of all real numbers. Value of function is 1 when x is rational and 5x when x is irrational. This means that the range of f consists of 1 and all irrational numbers because when x is irrational, 5x is also irrational.
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