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Can someone help? need to find the a and b for this function. Anything helps!! [closed]

Need this Function ExplainedNeed a function for the following…Wrong implementation of functionIf A is a countable set, and B is an uncountable set, then why A intersect B is a countable set?Typo in a calculus bookCan one solve for $x$ in the equation $8^x=16x$Find z^3 give a defined functionFind the largest possible domain and the largest possible range of $F(x)$Find the value of differentiated functionLooking for a function that gives value of 0 to 1 with input of 0 to 1

-1

$begingroup$

enter image description here
Function is $f(x)= ax^4-25x^3+2x^2+25x+b $
it passes through (7,E) E= 1296 and there is a zero of -1

functional-analysis analysis functions exponential-function advice

share|cite|improve this question

edited Mar 22 at 15:50

CiaPan

10.3k11248

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

$endgroup$

closed as off-topic by Shailesh, dantopa, Strants, John Douma, Parcly Taxel Mar 26 at 3:26

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, dantopa, Strants, John Douma, Parcly Taxel

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  Please do not use pictures for critical portions of your post. Pictures may not be legible, cannot be searched and are not view-able to some, such as those who use screen readers.
  $endgroup$
  – Brian
  Mar 22 at 14:32
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to stackexchange. When you edit the question to ask it directly rather than with a hard to read image, be sure to tell us what you tried and where you are stuck. Please use mathjax: math.meta.stackexchange.com/questions/5020/…
  $endgroup$
  – Ethan Bolker
  Mar 22 at 14:35
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @EnriqueRodriguez Please add the function and your work into your question. If you show your effort appropriately, it is more likely that somebody will also put his/her effort into providing you some help.
  $endgroup$
  – Ertxiem
  Mar 22 at 14:42
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Ertxiem is this better?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Brian i added the function is this better?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:23
  

  
  
  
  

add a comment | 

-1

$begingroup$

enter image description here
Function is $f(x)= ax^4-25x^3+2x^2+25x+b $
it passes through (7,E) E= 1296 and there is a zero of -1

functional-analysis analysis functions exponential-function advice

share|cite|improve this question

edited Mar 22 at 15:50

CiaPan

10.3k11248

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

$endgroup$

closed as off-topic by Shailesh, dantopa, Strants, John Douma, Parcly Taxel Mar 26 at 3:26

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Shailesh, dantopa, Strants, John Douma, Parcly Taxel

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  Please do not use pictures for critical portions of your post. Pictures may not be legible, cannot be searched and are not view-able to some, such as those who use screen readers.
  $endgroup$
  – Brian
  Mar 22 at 14:32
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to stackexchange. When you edit the question to ask it directly rather than with a hard to read image, be sure to tell us what you tried and where you are stuck. Please use mathjax: math.meta.stackexchange.com/questions/5020/…
  $endgroup$
  – Ethan Bolker
  Mar 22 at 14:35
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @EnriqueRodriguez Please add the function and your work into your question. If you show your effort appropriately, it is more likely that somebody will also put his/her effort into providing you some help.
  $endgroup$
  – Ertxiem
  Mar 22 at 14:42
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Ertxiem is this better?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:22
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @Brian i added the function is this better?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:23
  

  
  
  
  

add a comment | 

$begingroup$

enter image description here
Function is $f(x)= ax^4-25x^3+2x^2+25x+b $
it passes through (7,E) E= 1296 and there is a zero of -1

functional-analysis analysis functions exponential-function advice

share|cite|improve this question

edited Mar 22 at 15:50

CiaPan

10.3k11248

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

$endgroup$

share|cite|improve this question

edited Mar 22 at 15:50

CiaPan

10.3k11248

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

share|cite|improve this question

edited Mar 22 at 15:50

CiaPan

10.3k11248

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

edited Mar 22 at 15:50

CiaPan

10.3k11248

edited Mar 22 at 15:50

CiaPan

10.3k11248

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

asked Mar 22 at 14:29

Enrique RodriguezEnrique Rodriguez

32

1 Answer
1

active

oldest

votes

0

$begingroup$

You can find $a$ and $b$ as a system of equations:

We know that for $x=7$, $f(x)=1296$, this will be one equation on $a$ and $b$.

And for $x=-1$, $f(x) = 0$, this will give another equation on $a$ and $b$.

Can you write down the equations and solve the system or do you need more help?

Edit: The equations will be:
$$begincases
a times 7^4 - 25 times 7^3 + 2 times 7^2+25 times 7 + b = 1296 \
a times (-1)^4 - 25 times (-1)^3 + 2 times (-1)^2+25 times (-1) + b = 0
endcases$$

Edit 2: If you subtract the first equation from the second you get an equation without $b$:
$$a times (7^4-(-1)^4) - 25 times (7^3-(-1)^3) + 2 times (7^2-(-1)^2) + 25 times (7-(-1)) = 1296 .$$
I was a bit lazy and I did not compute the powers of $7$. :)

With this last equation, you'll be able to compute the value of $a$. To obtain the value of $b$ you can use one of the other equations (I suggest using the one with the smaller numbers).

share|cite|improve this answer

edited Mar 22 at 19:29

answered Mar 22 at 15:28

ErtxiemErtxiem

671112

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  this helps could you help me a little more?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:32
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  just with the equations
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  still a little confused first time doing this! how do i get the a and b out of this 2 equations? cause a and b are still both in there? i can slove when its one variable but not 2.
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 16:01
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @EnriqueRodriguez: I added another step in the solution. I believe that you can now compute the final result on your own.
  $endgroup$
  – Ertxiem
  Mar 22 at 19:30
  

  
  
  
  

add a comment | 

0

$begingroup$

You can find $a$ and $b$ as a system of equations:

We know that for $x=7$, $f(x)=1296$, this will be one equation on $a$ and $b$.

And for $x=-1$, $f(x) = 0$, this will give another equation on $a$ and $b$.

Can you write down the equations and solve the system or do you need more help?

Edit: The equations will be:
$$begincases
a times 7^4 - 25 times 7^3 + 2 times 7^2+25 times 7 + b = 1296 \
a times (-1)^4 - 25 times (-1)^3 + 2 times (-1)^2+25 times (-1) + b = 0
endcases$$

Edit 2: If you subtract the first equation from the second you get an equation without $b$:
$$a times (7^4-(-1)^4) - 25 times (7^3-(-1)^3) + 2 times (7^2-(-1)^2) + 25 times (7-(-1)) = 1296 .$$
I was a bit lazy and I did not compute the powers of $7$. :)

With this last equation, you'll be able to compute the value of $a$. To obtain the value of $b$ you can use one of the other equations (I suggest using the one with the smaller numbers).

share|cite|improve this answer

edited Mar 22 at 19:29

answered Mar 22 at 15:28

ErtxiemErtxiem

671112

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  this helps could you help me a little more?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:32
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  just with the equations
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  still a little confused first time doing this! how do i get the a and b out of this 2 equations? cause a and b are still both in there? i can slove when its one variable but not 2.
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 16:01
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @EnriqueRodriguez: I added another step in the solution. I believe that you can now compute the final result on your own.
  $endgroup$
  – Ertxiem
  Mar 22 at 19:30
  

  
  
  
  

add a comment | 

0

$begingroup$

You can find $a$ and $b$ as a system of equations:

We know that for $x=7$, $f(x)=1296$, this will be one equation on $a$ and $b$.

And for $x=-1$, $f(x) = 0$, this will give another equation on $a$ and $b$.

Can you write down the equations and solve the system or do you need more help?

Edit: The equations will be:
$$begincases
a times 7^4 - 25 times 7^3 + 2 times 7^2+25 times 7 + b = 1296 \
a times (-1)^4 - 25 times (-1)^3 + 2 times (-1)^2+25 times (-1) + b = 0
endcases$$

Edit 2: If you subtract the first equation from the second you get an equation without $b$:
$$a times (7^4-(-1)^4) - 25 times (7^3-(-1)^3) + 2 times (7^2-(-1)^2) + 25 times (7-(-1)) = 1296 .$$
I was a bit lazy and I did not compute the powers of $7$. :)

With this last equation, you'll be able to compute the value of $a$. To obtain the value of $b$ you can use one of the other equations (I suggest using the one with the smaller numbers).

share|cite|improve this answer

edited Mar 22 at 19:29

answered Mar 22 at 15:28

ErtxiemErtxiem

671112

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  this helps could you help me a little more?
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:32
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  just with the equations
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 15:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  still a little confused first time doing this! how do i get the a and b out of this 2 equations? cause a and b are still both in there? i can slove when its one variable but not 2.
  $endgroup$
  – Enrique Rodriguez
  Mar 22 at 16:01
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @EnriqueRodriguez: I added another step in the solution. I believe that you can now compute the final result on your own.
  $endgroup$
  – Ertxiem
  Mar 22 at 19:30
  

  
  
  
  

add a comment | 

$begingroup$

You can find $a$ and $b$ as a system of equations:

We know that for $x=7$, $f(x)=1296$, this will be one equation on $a$ and $b$.

And for $x=-1$, $f(x) = 0$, this will give another equation on $a$ and $b$.

Can you write down the equations and solve the system or do you need more help?

Edit: The equations will be:
$$begincases
a times 7^4 - 25 times 7^3 + 2 times 7^2+25 times 7 + b = 1296 \
a times (-1)^4 - 25 times (-1)^3 + 2 times (-1)^2+25 times (-1) + b = 0
endcases$$

Edit 2: If you subtract the first equation from the second you get an equation without $b$:
$$a times (7^4-(-1)^4) - 25 times (7^3-(-1)^3) + 2 times (7^2-(-1)^2) + 25 times (7-(-1)) = 1296 .$$
I was a bit lazy and I did not compute the powers of $7$. :)

With this last equation, you'll be able to compute the value of $a$. To obtain the value of $b$ you can use one of the other equations (I suggest using the one with the smaller numbers).

share|cite|improve this answer

edited Mar 22 at 19:29

answered Mar 22 at 15:28

ErtxiemErtxiem

671112

$endgroup$

share|cite|improve this answer

edited Mar 22 at 19:29

answered Mar 22 at 15:28

ErtxiemErtxiem

671112

answered Mar 22 at 15:28

ErtxiemErtxiem

671112

answered Mar 22 at 15:28

ErtxiemErtxiem

671112