Now press ( 3 ) to obtain:
Hit ENTER to obtain the solution:
w
2.2 Characteristics of Functions
EXAMPLE 5 Using a Graphing Utility to Locate Local Maxima and Minima
and to Determine Where a Function is Increasing and
Decreasing
(a) Use a graphing utility to graph f x x x( ) = − +6 12 5
3
for -2 < x < 2.
Determine where f has a local maximum and where f has a local
minimum.
(b) Determine where f is increasing and where it is decreasing.
Solution (a) Graphing utilities have a feature that finds the maximum or
minimum point of a graph within a given interval. Graph the function f
with Xmin = -2 and Xmax = 2, Xscl = 1, Ymin = -10, Ymax = 30, and
Yscl = 5. You should obtain the following:
To Next Page
Loading...
