Find relative extrema f ( x ) = x2 on [-2, 2], Mathematics

Assignment Help:

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

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

Solution

Following is the graph for this function.

1110_minimum1.png

In this case still we contain a relative & absolute minimum of zero at x = 0 .  Still we also have an absolute maximum of four. This will occur at two points, x = -2 and x = 2 .

Again, the function doesn't contain any relative maximums.

As this instance has illustrated there can only be a single absolute maximum or absolute minimum value, but they can occur at more than one place in the domain.


Related Discussions:- Find relative extrema f ( x ) = x2 on [-2, 2]

Pair of straight lines, the adjacent sides of a parallelogram are 2x2-5xy+3...

the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal

Constants of integration, CONSTANTS OF INTEGRATION Under this section w...

CONSTANTS OF INTEGRATION Under this section we require to address a couple of sections about the constant of integration. During most calculus class we play pretty quick and lo

Trigonomitry, Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=...

Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=n

Pair of straight line, The equation ax2 + 2hxy + by2 =0 represents a pair o...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

How tall was peter when he turned 15, Peter was 60 inches tall on his thirt...

Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15? Find 15% of 60 inches and add

Statistics., the mean and standarddeviation of set a is -x ans s respective...

the mean and standarddeviation of set a is -x ans s respectively.find the mean and standard deviation of set b

Reduction-types of word problems related to subtraction, Reduction -when t...

Reduction -when the original amount and the balance or remainder are known, to find the part that has been given away. (e.g., there were 15 toffees in a container, and there are

Randomly chosen boy can run this race in 302 sec, School run known to posse...

School run known to possess normal distribution with mean 440 sec & SD 60 sec. What is probability that randomly chosen boy can run this race in 302 sec.

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