Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-6 Formalizing Relations and Functions - Practice and Problem-Solving Exercises - Page 272: 19

Answer

The range is {-39, -7, 1, 5, 21}

Work Step by Step

g(x) = -4x +1 The domain is {-5,-1,0,2,10}. The domain gives the x value so we substitute the x into the equation g(x) = -4x +1 x=-5 g(-5) = -4(-5) +1 g(-2) = 21 x=-1 g(-1) = -4(-1) +1 g(-1) = 5 x=0 g(0) = -4(0) +1 g(0) = 1 x=2 g(2) = -4(2) +1 g(2) = -7 x=10 g(10) = -4(10) +1 g(10) = -39 Therefore we get the range to be {-39, -7, 1, 5, 21}
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