Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.1 Exercises - Page 104: 53

Answer

y = -3x + 2

Work Step by Step

To create a function, you need a point and a slope. This question tells us the derivative of the function f is -3, so this is our slope. Our point is (0,2) as indicated by f(0) = 2. Putting this into point-slope form gives us y-2 = -3(x-0) This can be simplified to y-2= -3x Which can be rewritten as y = -3x+2
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