Finding Intervals of Increase/Decrease - University of Wisconsin–La ...
[Pages:1]Computing Intervals of Increase/Decrease and Intervals of Concavity (E. Kim)
Finding Intervals of Increase/Decrease
1. Draw a number line for x-values (labeled with f ) 2. Draw a "breakpoint" for each x-value c where f (c) does not exist. 3. Draw a "breakpoint" for each x-value c where f (c) = 0 or f (c) does not exist. In other words, draw
in a breakpoint for each critical number. (This includes places where f (c) does not exist, labeled in the previous step.) 4. Pick a number x in each interval separated by breakpoints and compute f (x).
? If f (x) > 0, then f is increasing in this interval. ? If f (x) < 0, then f is decreasing in this interval. ? If f (x) = 0, then f is constant in this interval. Remark: Because f (c) does not exist if f (c) does not exist, listing step 2 is actually redundant.
Finding Intervals of Concavity
1. Draw a number line for x-values (labeled with f ) 2. Draw a "breakpoint" for each x-value c where f (c) does not exist. 3. Draw a "breakpoint" for each x-value c where f (c) does not exist. 4. Draw a "breakpoint" for each x-value c where f (c) = 0 or f (c) does not exist. 5. Pick a number x in each interval separated by breakpoints and compute f (x).
? If f (x) > 0, then f is concave up (CU) in this interval. ? If f (x) < 0, then f is concave down (CD) in this interval. Remark: Similarly to the previous remark, because f (c) does not exist if f (c) does not exist, listing step 3 is actually redundant. In turn, listing step 2 is also redundant.
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- section 3 3 intervals of increase and decrease uh
- percents worksheet percentage increase or decrease of whole numbers
- infinite calculus intervals of increase and decrease extrema dr kokan
- interval of increase decrease arc practice wpmu dev
- finding intervals of increase decrease university of wisconsin la
- intervals of increasing decreasing los rios community college district
- 04 intervals of increase and decrease
- 3 1 increasing and decreasing functions relative extrema
- section 2 1 increasing decreasing and piecewise functions applications
- using a graph to determine where a function is increasing decreasing
Related searches
- university of wisconsin school rankings
- percent of increase and decrease calculator
- percent increase decrease worksheet pdf
- percent increase decrease word problems
- increase decrease calculator
- finding intervals calculator
- finding intervals increasing and decreasing calculator
- university of wisconsin madison graduation
- finding percent increase decrease worksheets
- university of wisconsin academic calendar
- university of wisconsin 2020 2021 calendar
- interval of increase decrease calculator