CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

1.5. Maximums and Minimums http://www.ck12.org


Calculus uses advanced analytic tools to compute extreme values, but for the purposes of PreCalculus it is sufficient
to be able to identify and categorize extreme values graphically or through the use of technology. For example, the
TI-84 has a maximum finder when you select <2nd>then .
Example A
Identify and categorize all extrema:


Solution: Since the function appears from the arrows to increase and decrease beyond the display, there are no
global extrema. There is a local maximum at approximately (0, 3) and a local minimum at approximately (2.8, -7).
Example B
Identify and categorize all extrema:

Free download pdf