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]

Solve the right triangle, 1. Solve the right triangle. B = 135     c = 3...

1. Solve the right triangle. B = 135     c = 3.72 A  ≈ ____°    (round to the nearest tenth as needed) 2.  Solve the right triangle, where  a =4 and b =10 The length of

Ms. Smith, How can I use the I=Prt formula to get the interest for this pro...

How can I use the I=Prt formula to get the interest for this problem? A car dealer sells me a car for $16450 with $3,290 down and $339.97 monthly payments for 48 months. What is

Find the number of students side of the square, A teacher on attempting to ...

A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one

Probability, An unbiased die is tossed twice .Find the probability of getti...

An unbiased die is tossed twice .Find the probability of getting a 4,5,6 on the first toss and a 1,2,3,4 on the second toss

Draw tangent graph y = tan ( x ), Graph y = tan ( x ). Solution In...

Graph y = tan ( x ). Solution In the case of tangent we need to be careful while plugging x's in since tangent doesn't present wherever cosine is zero (remember that tan x

Write down the first few terms of the sequences, Write down the first few t...

Write down the first few terms of each of the subsequent sequences. 1. {n+1 / n 2 } ∞ n=1 2. {(-1)n+1 / 2n} ∞ n=0 3. {bn} ∞ n=1, where bn = nth digit of ? So

Factors in denominator and partial fraction decomposition, Factors in Denom...

Factors in Denominator and Partial Fraction Decomposition Factor in denominator Term in partial  fraction decomposition   ax + b

Diffrence between integers and rational numbers, Q. Give basic Diffrence be...

Q. Give basic Diffrence between Integers and Rational Numbers? Ans. Integers The integers are positive and negative whole numbers. The integers are closed under ad

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