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Stitz-Zeager_College_Algebra_e-book

# 4 given the graph of y f x below answer all of the

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Unformatted text preview: we do not mention the actual y values that f attains along the way. Thus, we report where the behavior occurs, not to what extent the behavior occurs.6 Also notice that we do not say that a function is increasing, decreasing or constant at a single x value. In fact, we would run 5 6 Or, in other words, don’t rely too heavily on the machine! The notions of how quickly or how slowly a function increases or decreases are explored in Calculus. 1.7 Graphs of Functions 71 into serious trouble in our previous example if we tried to do so because x = −2 is contained in an interval on which f was increasing and one on which it is decreasing. (There’s more on this issue and many others in the exercises.) y 7 (−2, 4.5) (6, 5.5) 6 5 4 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 5 6 7 x −2 −3 (−4, −3) −4 −5 (4, −6) −6 (5, −6) −7 −8 −9 (3, −8) The graph of y = f (x) We’re now ready for the more formal algebraic deﬁnitions of what it means for a function to be increasing, decreasing or constant. Definition...
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