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: 18

Answer

The range is {-11, -9, -7, -5, -3}

Work Step by Step

f(x) = 2x - 7 The domain is {-2,-1,0,1,2}. The domain gives the x value so we substitute the x into the equation f(x) = 2x - 7 x=-2 f(-2) = 2(-2) - 7 f(-2) = -11 x=-1 f(-1) = 2(-1) - 7 f(-1) = -9 x=0 f(0) = 2(0) - 7 f(0) = -7 x=1 f(1) = 2(1) - 7 f(1) = -5 x=2 f(2) = 2(2) - 7 f(2) = -3 Therefore we get the range to be {-11, -9, -7, -5, -3}
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