Recognizes the absolute extrema & relative extrema, Mathematics

Assignment Help:

Recognizes the absolute extrema & relative extrema for the following function.

                          f ( x ) = x2      on [-1, 2]

Solution:  As this function is simple enough to graph let's do that.  Though, we only want the graph on the interval [-1,2].  Here is the graph,

2291_maximum.png

Note as well that we utilized dots at the end of the graph to remind us that the graph ends at these points.

Now we can identify the extrema from the graph.  It looks like we've got a relative & absolute minimum of zero at x = 0 and an absolute maximum of four at x = 2 . Note as well that x = -1 is not a relative maximum as it is at the ending point of the interval.

This function doesn't contain any relative maximums.

As we saw in the previous example functions do not have to have relative extrema.  It is entirely possible for a function to not have a relative maximum and/or a relative minimum.


Related Discussions:- Recognizes the absolute extrema & relative extrema

Proportions, if oranges cost $2.40 a dozen, how much do 2 oranges cost?

if oranges cost $2.40 a dozen, how much do 2 oranges cost?

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Determinant, The subsequent topic that we require to take a look at is the ...

The subsequent topic that we require to take a look at is the determinant of a matrix. The determinant is in fact a function that gets a square matrix and converts this in a number

What percent the girls surveyed said that area hockey sport, 450 girls were...

450 girls were surveyed about their favorite sport, 24% said in which basketball is their favorite sport, 13% said in which ice hockey is their favorite sport, and 41% said which s

Construction, draw a line OX=10CM and construct an angle xoy = 60. (b)bisec...

draw a line OX=10CM and construct an angle xoy = 60. (b)bisect the angle xoy and mark a point A on the bisector so that OA = 7cm

Measures of central tendency, Measures of Central Tendency Measures of...

Measures of Central Tendency Measures of Central Tendency are statistical values which tend to happen at the centre of any well ordered set of data. When these measures happen

Relative motion, how to find the minimum distance between any two particles...

how to find the minimum distance between any two particles which are in relative motion?

Mathematic Modeling, Ask question I have 2 problems I need them after 7 hou...

Ask question I have 2 problems I need them after 7 hours

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd