Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

Tutors Answer Your Questions about Rational-functions (FREE)

Question 165573:
Find all horizontal/vertical asymptotes and all x-intercepts
Click here to see answer by oscargut(900)

Question 165612: Given:

Find all zeros real and imaginary.
Click here to see answer by oscargut(900)

Question 165678: 1.)x2+5x+4
---------
x2+x
help me pls.. to solve this problem..,..
2.)x2+4x+4
---------
x2-4
Click here to see answer by stanbon(57984)

Question 165785: How would you solve the following equation by factoring and applying the Zero-Product Property?

Click here to see answer by checkley77(12569)

Question 165793: what is the slope and the y intercept of 6y=3x+4
Click here to see answer by vleith(2825)

Question 165792: what is the slope and the y intercept of 6y=3x+4

Click here to see answer by JNChandler(1)

Question 165725: Hi, Can you help?
.
In my algebra book, It says that if the degree of the numerator is more than the denominator ( by more than one degree ), it does not have any horizontal asymptotes, is this true?
.
only has Vertical asymptotes of , and
.
would only have Vertical asymptotes
.
If the degrees are the same, the Horizontal asymptotes would be the leading coeffiecients, is this true?
.
would have Horizontal asymptotes of
.
If the degree of the numerator is smaller than the denominator, than the Horizontal asymptotes would always be , is this true?
.
, would have a Horizontal Asymtote of
.
If the numerator is only one degree more than the denominator, it doesn't have a Horizontal Asymptote, but it has an Oblique Asymptote (unless it is exactly divisible), is this true?
.
, would have an Oblique Asymptote of , (It has a remainder of
.
Am I correct with all these examples? ( I would appreciate it if I could have an answer as soon as possible )
.
Thanks ahead of time,Levi
Click here to see answer by MRperkins(300)

Question 165790: what is the slope and the y intercept of 6y=3x+4
Click here to see answer by Fombitz(13828)

Question 165803: what is the slope and the y intercept of
3y+3x+1=0
Click here to see answer by Fombitz(13828)

Question 165803: what is the slope and the y intercept of
3y+3x+1=0
Click here to see answer by gonzo(654)

Question 165799: what is the slope and the y intercept of
3y+3x+1=0
Click here to see answer by MRperkins(300)

Question 165809: How would you solve the following equation by factoring and applying the Zero-Product Property?

Click here to see answer by MRperkins(300)

Question 165822: the distance between (-12,7) and (10,-3)
Click here to see answer by Alan3354(31538)

Question 165846: CLASSIFY EACH SYSTEM AND DERTERMINE THE NUMBER OF SOLUTIONS.
Y=-4X+7
12X+3Y=21
Click here to see answer by jojo14344(1512)

Question 166034: can someone please help with this:
Give the equation of the horizontal asymptote of the rational function.
g(x) = x-5 / x-1
a. x = 1
b. y = 0
c. y = 1
d. y = 5
Click here to see answer by Fombitz(13828)

Question 166029: can someone please help me with this problem:
Graph the rational funciton.
Pf(x) = x+4 / x-1
Click here to see answer by Fombitz(13828)

Question 166118: How would you solve the following equation by factoring and applying the Zero-Product Property?

Thank you so much!!!!!

Click here to see answer by checkley77(12569)

Question 166126: How would you solve the following equation by factoring and applying the Zero-Product Property?

This is what I have tried:
(5x+5)(x+-5)
5x+5=0
5x=-5
x=-1
x+-5=0
x=5
Thank you so much!:D

Click here to see answer by jim_thompson5910(28717)

Question 166206: Can you help me? Am I on the right track?
f(x) = 3x+1
g(x) = (x^2 + 5x)^-1/2 find g(f(x)
g (3x+1)^2 + 5(3x+1)
(9x^2+6x+1 + 15x+5)^-1/2
square root of 1/9x^2+21x+6 answer???
Click here to see answer by MRperkins(300)

Question 166375: Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x) = 2x^3 - x^2 - 12x + 6
Click here to see answer by Fombitz(13828)

Question 166504: These will be the last questions. Please help
1. List all of the possible rational zeros of f(x)=3x^5-7x^3+2x-15.
2. State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)=9x^3-7x^2+10x-4.
I must show my work. No textbook. Have been absent from school and have a big test on Monday. Need to know how to do these for the test.
Thanks
Click here to see answer by jim_thompson5910(28717)

Question 166503: PLEASE HELP!!!
Graph f(x)=-x^2+4x-3, labeling the y intercept, vertex, and axis of symmetry.
Also
graph f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relative maxima and relative minima occur.
I must show my work. This is a worksheet.
Thanks
Click here to see answer by gonzo(654)

Question 166558: Please help with this question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2
Thank you.
Click here to see answer by jim_thompson5910(28717)

Question 166599: Please help me with:
Find a rational function that has x=4 and x=3 as vertical Asymptotes, and (-2,0) as an x-intercept.
Thanks

Click here to see answer by gonzo(654)

Question 166613: Please help with:
For f(x)=-2x^5+3x^4-6x^2+1, what does Descartes rule of signs tell you about:

(a) the number of positive real zeros?
(b) the number of negative real zeros?
Thank you.

Click here to see answer by nerdybill(7011)

Question 166626: Can someone help me with the question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.
Thank you.
Click here to see answer by stanbon(57984)

Question 166633: is this answer for this question right?
2(4 2/3) equals 8 2/3 am i right or wrong

Click here to see answer by Alan3354(31538)

Question 166707: PLEASE HELP ME solve this polynomial equation by factoring
4x^3+7x^2-5x-6
THANK YOU SO MUCH
Click here to see answer by Alan3354(31538)

Question 166875: Please help me. I'm stumped on 2 problems in Algebra 2.
Here they are:
1. Find the dimensions of a rectangle "a" with the greatest area whose perimeter is 30 feet.
2. Given x^3-4x^2+2x+1=0
(a) How many possible positive roots are there?
(b) How many possible negative roots are there?
(c) What are the possible rational roots?
(d) Using synthetic substitution, which of the possible rational roots is actually a root of the equation?
(e) Find the irrational roots of the equation. (Hint: Use the quadratic formula to solve the depressed equaiton.)
Thanks a lot!
Andrew
Click here to see answer by stanbon(57984)

Question 167060: Sketch by hand
F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of
a) x- & y- intercepts
b) relative maxima and minima
c) points of intersection

Click here to see answer by Fombitz(13828)

Question 166996: I'm working with a student myself at a Deaf school in Jamaica and we came across a problem that stumped me. The question is:
If f(x)=2x-3, then find the value of f^-1(0)
The part that stumps me is putting f to the power of -1.
We understand how to solve the problem if it's not but to a power.
Thank you so much for your help! I appreciate it greatly.
-Isaac
Click here to see answer by Fombitz(13828)

Question 167068: slope intercept form
a. m= -6; (9,3)
b. m= -2 b=4
Click here to see answer by Alan3354(31538)

Question 167192: (√2 + √-2)^2
______________
(2)^2
the line represents division

Click here to see answer by Edwin McCravy(8999)

Question 167213: Find the horizontal asymptote of each rational function.
F(x)= (2x-3)(3x+4) (numerator)
(1-2x)(3-5x) (denominator)
The answer I have is y=3/5. Is this correct?
Click here to see answer by Fombitz(13828)

Question 167400: Will you please help me.
Determine the equation of any vertical asymptotes and the value of x for any holes in the graph: f(x)=x^2-11x+18/x-2
I must show my work and I am lost
Thanks
Click here to see answer by gonzo(654)

Question 167405: Please help. I have two questions.
1. Identify the function represented by y=3/x
2. Solve: 8/t+5=t-3/t+5+1/3.
PLEASE HELP!!!
Click here to see answer by Alan3354(31538)

Question 167480: I dont know how to work out this problem-
You are stenciling wooden boxes to sell at a fair. It takes you 2 hours to stencil a small box and 3 hours to stencil a large box. You make a profit of $10 for a small box, and $20 for a large box. If you have no more than 30 hours available to stencil and want atleast 12 boxes to sell how many of each box should you stencil to maximize your profit ?
a) Identify your variables. If x = small boxes, what does y=______ ?
b) What is the objective function (profit) ?
C=_____x+______y
c)What are the constraints ?
x+y_____12(boxes)
_____x+_____y <_ _____hours
d) Graph your constraints to find the feasible region.
e) How many of each size box should you stencil to maximize your profit ?

Click here to see answer by Mathtut(3670)

Question 167394: I really need help on these two questions.
Graph: 1. 16x^2+9y^2=144
2. x^2/9-(y+2)^2/9=1
I don't understand how to do these. I have to show my work.
PLEASE HELP!!!
Thanks
Click here to see answer by KnightOwlTutor(293)

Question 167587: Solve each system of equations:
x+2y=12
3y-4z=25
x+6y+z=20
Click here to see answer by Electrified_Levi(103)

Question 167618: evaluate the difference quotient for f(x)=x^2

Difference quotient= f(x+h)-f(x)divided by h

Click here to see answer by Fombitz(13828)

Question 167709: graph the function. State the Domain and range
y=x+2
____
x+3
Click here to see answer by jim_thompson5910(28717)

Question 167883: Mulitply 8r + 16/ 24r - 24 . 6r - 6/ 3r + 6
How I solved
8(r+2) / 8 (r-3) . 3 (r-2)/ 3 (r + 2)
Cancel out r+2 and both 8 and 3
Giving me
r-3 / 3r - 3
Amy I doing this correctly?

Click here to see answer by nerdybill(7011)

Question 167899: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
Click here to see answer by checkley77(12569)

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, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100