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]

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Integration, sketch the curve y=9-x2 stating the coordinates of the turning...

sketch the curve y=9-x2 stating the coordinates of the turning point and of the intersections with the axes.

Determine the volume of the object, A rectangular container is 15 cm wide a...

A rectangular container is 15 cm wide and 5 cm long, and contains water to a depth of 8 cm. An object is placed in the water and the water rises 2.3 cm. Determine the volume of the

Partial differential equations, I need expert who can solve 10 set of PDE w...

I need expert who can solve 10 set of PDE with constant of integration.

Integrals involving trig functions - integration techniques, Integrals Invo...

Integrals Involving Trig Functions - Integration techniques In this part we are going to come across at quite a few integrals that are including trig functions and few metho

Write algorithm for the multiplication of a 3-digit number, E1) Why do we s...

E1) Why do we shift the place by one, of the result in the second row of the calculation, when we multiply, say, 35 by 237 E2) Write down the algorithm for the multiplication of

Probability of tossing a head with the dime, Q. Find Probability of tossing...

Q. Find Probability of tossing a head with the dime? List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of t

Determine equation of tangent line, Determine equation of the tangent line ...

Determine equation of the tangent line to f (x) = 4x - 8 √x  at x = 16 . Solution : We already know that the equation of a tangent line is specified by,

Factor, 27-125 a power -135a +225a power2

27-125 a power -135a +225a power2

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