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: 2

Answer

a. The rate of change of is -5. b. The graph of f is a line with slope -5 and y-intercept (0,7).

Work Step by Step

f(x) = -5x + 7 is the given function. a. The slope (a), which = -5 is the same as the rate of change so the rate of change of the function is -5. b. As mentioned in part a, the slope is -5. The y-intercept is the b value which, for this function if 7. So the y-intercept (which occurs when x=0) is (0,7).
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