Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 195: 6

Answer

Yes, f(x) = 3 is a linear function. The slope is 0, and the rate of change is 0.

Work Step by Step

Linear functions are written in the form f(x) = ax+b. In this case, a = 0, so there is only a b value (3). Since a = slope = 0 the slope is 0 and the rate of change (which = the slope) is also 0.
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