The variety is walk to it is in the y values (or the f(k)) values. The domain will be ur k values.So the domain, when selection is 25 is :25 = k^2 + 2k + 1k^2 + 2k + 1 - 25 = 0k^2 + 2k - 24 = 0(k + 6)(k - 4) = 0k + 6 = 0k = -6k - 4 = 0k = 4so the domain for this one is 4 and also -6when the range is 64...64 = k^2 + 2k + 1k^2 + 2k + 1 - 64 = 0k^2 + 2k - 63 = 0(k + 9)(k - 7) = 0k + 9 = 0k = -9k - 7 = 0k = 7so the domain for this one is -9 and 7summary : the domain, as soon as the range is (25,64) is -9,-6,4,7

Correct option is:

4,7

Step-by-step explanation:

The variety of the function f(k) = k² + 2k + 1 is 25, 64.

You are watching: The range of the function f(k) = k2 + 2k + 1 is {25, 64}. what is the function’s domain?

i.e. K²+2k+1 have the right to take just two values either 25 or 64

When k=5 ,k²+2k+1=36

when k= -5 ,k²+2k+1=16

when k=8 ,k²+2k+1=81

Hence, domain set cannot contain the points 5,8 and -5

The only option that do not contain any kind of of these numbers is:

4,7

Also once k=4 , k²+2k+1=25

and as soon as k=7 , k²+2k+1=64

Hence, Correct alternative is:

4,7

D. " />

Step-by-step explanation:

The given function is

The domain refers to the value of k, because that which the function,

is defined.

Observe that the right hand next is a perfect square

We fix for k to get;

when

when

The domain is " /> or

" />

The exactly answer is D.

Domain is <-9,-6> U <4,7>

Step-by-step explanation:

Range is 25, 64. Selection is the y value

LEts plug in 25 for f(k) and also solve because that k

Subtract 25 ~ above both sides

Product is -24 and sum is +2. Components are 6 and also -4

Do the same and solve because that x once f(x)= 64

Subtract 64 top top both sides

Product is -63 and sum is +2. Factors are 9 and -7

We got k values, -9,-6,4,7

Domain is <-9,-6> U <4,7>

Hence, the domain of the duty is:

4,7

Step-by-step explanation:

We are provided the selection of the function:

as 25,16

The role f(k) could additionally be composed as:

The selection is the value of the duty at part k.

1)

if f(k)=25 climate we have to find the value of k.

on taking square root on both side we have:

2)

if f(k)=64 then we have to uncover the worth of k.

on acquisition square root on both side we have:

Hence, the domain that the duty is:

4,7

Option D

The domain the the role is: 4, 7

Step-by-step explanation:

We know that for polynomial functions like

that is domain and also its rank room all genuine numbers. However, because that this case we room told the the function range is: the set 25, 64

This means that the role is bounded.

Then the domain the f(k) are all possible values of k such the f(k) belongs to the interval 25, 64.

To discover the limit values of k then we execute f(k) = 25

Now we variable the expression:

Then k = 4 and also k = -6.

Now we carry out f(k) = 64

We aspect the expression:

k = -9 and k = 7.

Finally us search in between the choices given one interval that matches.

The choice that matches is alternative D 4, 7

Option D

The domain the the role is: 4, 7

Step-by-step explanation:

We recognize that for polynomial attributes like

that domain and its rank room all actual numbers. However, because that this situation we are told the the role range is: the set 25, 64

This method that the duty is bounded.

Then the domain that f(k) space all feasible values the k such the f(k) belongs come the interval 25, 64.

To uncover the limit worths of k climate we perform f(k) = 25

Now we element the expression:

Then k = 4 and also k = -6.

Now we do f(k) = 64

We variable the expression:

k = -9 and also k = 7.

Finally us search in between the options given one interval the matches.

The alternative that matches is alternative D 4, 7

Finally, the domain of the duty is: 4, 7

R; all quadratic attributes are walking to have actually *ALL genuine NUMBERS*.

Answer is D 4,7if u put those values in the equation then u will get that calculation 25,64
f(k) = k2 + 2k + 1 = (k+1)^2The selection is what the role gives come you f(k)=25=5^2 or (-5)^2f(k)=64=8^2 or (-8)^2You need to uncover the k worths for this boundary worths to uncover the domain. Good lucky :)

Another inquiry on Mathematics

Mathematics, 21.06.2019 12:30
Atypical mre contains 1,200 calories.if the mean solider eats 3 mre every day and also is deployed for 15 months how numerous calories will be spend by a 44 member platoon the soldiers
Mathematics, 21.06.2019 17:00
Drag the tiles come the exactly boxes to complete the pairs. Complement the cart-coordinates through their equivalent pairs of y-coordinates the the unit circle
Mathematics, 21.06.2019 17:20
Four airplanes transporting a complete of 400 passengersarrive in ~ the detroit airport. The ​airplanes​ carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x represent the variety of passengers that were on theairplane carrying the randomly selected passenger. Uncover var(x)for x as offered in the problemb) among the 4 plane drivers is additionally selected uniformly atrandom. Permit y denote the number of passengers ~ above the favored driver’s airplane. Discover var(y) for y as provided in the problem
Mathematics, 21.06.2019 17:30
Find the explicit dominance for (2,6) and also (1,8).
You understand the best answer?
The range of the function f(k) = k2 + 2k + 1 is 25, 64. What is the function’s domain?...
Questions
Mathematics, 26.08.2019 04:20
0.3065g/138.03ml= have the right to anyone show me how to fix this...
Mathematics, 26.08.2019 04:20
The institution baseball team wants to have each player"s name imprinted ~ above the football player jacket the cost is \$75 to add \$8.50 because that each name compose a duty to...
History, 26.08.2019 04:20
Describe a international policy that both a realist and also an idealist would support....
History, 26.08.2019 04:20
Which the the following explains the knowledge idea of society contract...
History, 26.08.2019 04:20
The author of uncle tom"s cabin based the story on her navnavia...
Health, 26.08.2019 04:20
Is health treatment a business venture? how is the the exact same as any kind of other business? exactly how does it differ?...
Mathematics, 26.08.2019 04:20
Factor totally 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)...
Mathematics, 26.08.2019 04:20
If pq = 23 and also uv = 1/23, find the worth of (u)(q)(v)(p). Explain which properties you used...
English, 26.08.2019 04:20
What led harburg to write the song brother deserve to you preventive a dime...
Mathematics, 26.08.2019 04:20
Company a 28,000 3,000 agency b 30,000 2,800 company c 36,000 2,000 paul started occupational at company b 10 years back at the value shown...
English, 26.08.2019 04:20
In 250 words, discuss the means in i m sorry the novel relates to the historical context in which it to be published. (to death a mockingbird)...
Mathematics, 26.08.2019 04:20
The distance in between a (-5, 3) and b(5, 3) is....
Social Studies, 26.08.2019 04:20
Which component of the u. S. Constitution is involved with the rights of the individual?...
History, 26.08.2019 04:20
What to be the outcomes of the tranquility of westphalia...
English, 26.08.2019 04:20
To correctly incorporate a quotation right into a item of writing, all the adhering to are required other than annotations citation context
Geography, 26.08.2019 04:20
Describe the ecosystem of the aquarium in the dentist office...
Social Studies, 26.08.2019 04:20
In three to 4 sentences, describe the result of vain on the price the goods and also services and whether or no this is a an excellent thing because that consumers...
English, 26.08.2019 04:20
What similarity in between the 2 myths execute these passages illustrate...
English, 26.08.2019 04:20
How does whitmans mindset toward fatality in track of myself to compare to dickinsons attitude in 712 due to the fact that i could not avoid for death...
Mathematics, 26.08.2019 04:20
Without individually 8.5-4.64 what digit will be in the hundreds place...
More questions: MathematicsAnother questions
See results (0)
The answer is no found?
questioning an experienced a question
Email
Too quick question
Next
Email
You are registered.Access to her account will be opened after verification and publication of the question.
Next
Email
New password sent out to your email
OkClose
Email
Question
Pick a subject
Pick a subjectMathematicsHistoryEnglishBiologyChemistryPhysicsSocial StudiesAdvanced location (AP)SATGeographyHealthArtsBusinessComputers and also TechnologyFrenchGermanSpanishWorld Languages
Your inquiry is as well short
Question sent to expert. You will certainly receive response to the email.

See more: Titian’S Assumption And Consecration Of The Virgin Demonstrates The Power Of

OK
Cancel anytime.
No commitments. Release anytime. All pricing is in united state dollars (USD). The subscriptoin renews automaticaly till you cancel. For an ext information review our regards to use & Privacy plan