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4 - 5 Concavity and the Second

Concavity and the Second
P1: OSO/OVY P2: OSO/OVY QC: OSO/OVY T1: OSO
UAE_Math_Grade_12_Vol_1_SE_718383_ch3 GO01962-Smith-v1.cls Derivative T est
July 4, 2016
13:38
Derivative Test

In the previous section, we saw how to determine where a function is increasing and
decreasing and how this relates to drawing a graph of the function. Unfortunately,
simply knowing where a function increases and decreases is not sufficient to draw
a good graph. In Figures 4.53a and 4.53b, we show two very different shapes of
increasing functions joining the same two points.

y y

x x
a b a b

FIGURE 4.53a FIGURE 4.53b
Increasing function Increasing function

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