|
Tutors Answer Your Questions about Rational-functions (FREE)
Question 117393: . If x = −2 is a zero of f (x) = x3 + 6x2 + 11x + 6, then f (x) factors
completely as ( use synthetic or long division; show your work) (LO 12)
a) (x − 2)(x + 3)(x + 1);
b) (x + 2)(x + 3)(x − 1);
c) (x − 2)(x + 3)(x − 1);
d) (x + 2)(x + 3)(x + 1);
I am lost with the synthetic division
Click here to see answer by jim_thompson5910(13794)   |
Question 117392: 16. Check f (x) = x3 − x for symmetry with respect to the x-axis (f (x) =
−f (x)), y-axis (f (−x) = f (x)), and origin (f (−x) = −f (x)) respectively (2
pts).
a) Yes, No, No
b) Yes, Yes, No
c) No, No, Yes
d) No, Yes, Yes
I think that it i C but not sure
Click here to see answer by jim_thompson5910(13794) |
Question 117539: Let 'f' be the function whose graph is obtained by translating the graph of y=1/x to the right 3 units and upward 2 units.
(a) Write an equation for f(x) as a quotient of two polynomials.
(b) determind the zeros of 'f'.
(c) identify the asymptotes of the graph of f(x).
Click here to see answer by solver91311(5072)  |
Question 117696: you have $50 to spend on a party. Pizzas cost $10 each, ships cost $2 per bag , and soda costs $1.25 per bottle. write and equation in three variables for the number of pizzas, bags of chips, and bottles of soda you buy. find the intercept of the equation and graph the equation
Click here to see answer by Edwin McCravy(2922) |
Question 118109: I was not sure what type of problem this would be so I put what i thought was close.
Which of the following relations represents a function?
a. (0,4) (0,-3) (1,-2)
b. (1,1) (1,2) (1,3)
c. (2,-1) (2,1) (2,3)
d. (-1,2) (1,2) (3,2)
Click here to see answer by Earlsdon(4900) |
Question 118108: I was not sure of the type of problem this would be so I put what I thought would be close.
Which of the following is an example of the associative property of multiplicaion?
a. (-21x)y = -21(xy)
b. (-4x)y = -4x-4y
c. x(3y) = (3y)x
d. 3x(47y) = 141xy
Click here to see answer by stanbon(26296) |
Question 118156: I know this may not be the right topic for the problem but i guessed.
which is a solution of the system? -2x+y less than and equal to 8
x-3y greater 9
a. (0,-3)
b. (0,9)
c. both a and b
d. neither a nor b
Click here to see answer by ilana(236) |
Question 118159: f(x)= (-2 over x+5) -1
g(x)= x-2
determine the composite function f(g(x)), and then find the inverse of that function. state domain and range. then graph the composite function and its inverse.
PLEASE HELP ME THIS WILL PRACTICALLY CHANGE MY LIFE IF YOU CAN HELP ME.
thank you for helping me, you are the greatest!!!!
Click here to see answer by Fombitz(2113)  |
Question 118175: Our class got assigned a project on polynomials involving writing a research paper and completing a packet of examples, etc. I'm having some trouble on one of the pages in our packet which deals with making "generalizations" about different polynomial functions.
.
It lists the degree of the function along the left side of the page (everything is in a chart format) and then from the degrees listed (which are 0, 1, 2, 3, 4, and 5), we are to write the general form [ f(x)= ], possible number of zeros, possible number of local extrema, and the last box reads "Is there an absolute extrema? (yes, no)".
.
So far, for the general forms of the functions, I've written f(x)=n (n=real number, such as 0, 1, 2...) for the 0 degree, f(x)=x+n for the 1 degree, f(x)=x^2+x+n for the 2 degree, etc. up to f(x)=x^5+x^4+x^3+x^2+x+n for the 5 degree. I think that the general forms I've written are correct, but I wasn't quite sure if the 0 degree would be f(x)="n".
.
For the possible number of zeros I wrote 0 or infinitely many (if f(x)=0) for the 0 degree, 1 for the 1 degree, less than or equal to 2 for the 2 degree, less than or equal to 3 for the 3 degree, up to less than or equal to 5 for the 5 degree. In this column I wasn't sure about the 0 and 1 degree answers...
.
For the possible number of local extrema I wrote 0 for the 0 degree, 0 for the 1 degree, 1 for the 2 degree, less than or equal to 2 for the 3 degree, less than or equal to 3 for the 4 degree, and less than or equal to 4 for the 5 degree. Once again, I wasn't sure about the 0 and 1 degrees...
.
Then comes the absolute extrema column! This column REALLY confuses me!!! I've been looking online for answers as to what exactly an absolute extrema is (because our teacher hasn't taught us this unit yet and the information is not in our books either) and everything has been really hard for me to understand. From what I've gathered it seems like an absolute extrema is just a local extrema but it's the highest or lowest one (if that makes sense to you...). But this then leads me to the problem of answering the question listed in the column, "Is there an absolute extrema? (yes, no)". Would all of the answers be yes, or would infinity not be an acceptable answer? Do you think that the answer could only be yes if it was a definable, or writable (is that even a word?), answer? This column is really troubling me, as you can probably tell...
.
I would REALLY appreciate any help anyone could give me on the "Is there an absolute extrema? (yes, no)" column, as well as any assurance on my answers in the other columns, as well. I'm really sorry for having anyone going to the trouble of helping me with this. For some reason our teacher assigned us this whole project without teaching the information to us; maybe she assumed we just already knew the information? And we didn't have any opportunites of consulting her about the assignment either, as it was assigned to us just before we got out for Winter Break and is due as soon as we get back... But regardless, we cannot change the past, and I would just REALLY appreciate whatever help anyone can contribute! Thank-you so much for even taking the time to read this! I hope you can help!
Click here to see answer by MathLover1(1183)  |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690
|
| |
