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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 535744: What are the vertex, the axis of symmetry, the x any y intercepts and the domain and range of the following function? f(x)=2x^2-2x-4
Click here to see answer by lwsshak3(6770)

Question 536054: square root of 9x^2-24x+16. I need to simplify the expression. I'm just not sure if I'm doing it right.
Click here to see answer by mananth(12270)

Question 533623: Can you please state the positive real zeros, negative real zeros, and imaginary zero for this functions : r(x)=x^4-x^3-5x^2+6x+1
Click here to see answer by lwsshak3(6770)

Question 531804: I need to find out the maximum or minimum of the function f(x)=-2x^2+4x+8. Then, I have to find the domain and range. So far, I have found that the domain equals all real numbers.
Click here to see answer by lwsshak3(6770)

Question 536474: 3((s-1)/2)^2<=11 find soluation for s
Click here to see answer by mananth(12270)

Question 536558: Use the Remainder Theorem and Synthetic Division to find the remainders in the following division problems.
x3 - 2x2 + 5x - 6 divided by x - 3
-2x4 - 6x2 + 3x + 1 divided by x + 1
x5 + 2x4 - 3x + 3 divided by x - 1
Find a polynomial of degree three that when divided by x - 2 has a remainder of 3. You will really have to think on this one. Hint: Work backwards!
Click here to see answer by solver91311(17077)

Question 536966: Graph the following with the indicated transformation. Please show any calculations necessary to arrive at your graph and write the equation of the new graph.
f(x) = |x| shifted 9 units to the left.
Click here to see answer by jim_thompson5910(28717)

Question 537016: if the same number is adde to both the numerator and the denominator of the fraction 3/4,the result is 5/6.Find the numerator.
Click here to see answer by fcabanski(889)

Question 536965: Find the function (do not submit a graph) that is finally graphed after the following transformations are applied to the given function. Please be sure to show all of your work.
f(x) = |x|
Shift left 1 unit, shift up 1 unit, and stretch vertically by a factor of 2
Click here to see answer by lwsshak3(6770)

Question 537040: the square root of 5 less than 6 times a certain number os divided by the number and the quotient is 1
Click here to see answer by mananth(12270)

Question 537014: If the same number is adde to both the numerator and the denominator of the fraction 3/4,the result is 5/6.Find the number.

Click here to see answer by KMST(1936)

Question 537445: Please help me simplify the rational expression?
8x-12/3-2x
Click here to see answer by algebrahouse.com(1079)

Question 537443: Find the vertical asympotes of the rational function:
g(x)= x/x^3-216

Click here to see answer by KMST(1936)

Question 537107: Given the function y=f(x), such that the entire graph of the function lies above the x-axis. Why does the equation f(x)=0 have no real solutions?
Click here to see answer by richard1234(5390)

Question 536950: If the random variable z is the standard normal score and a > 0, is it true that P(z > -a) = P(z < a)? Why or why not?

Click here to see answer by richard1234(5390)

Question 537847: Hello there! I need help with a few problems i have ask everyone even my teacher and the are not giving me the information i need so i can do my homework. so if you dont mind if can you let me. The Problems are: SOLVING QUADRATRIC EQUATIONS WITH SQUARE ROOTS.
1.-6m^2=-414
2.7x^2=21
3.m^2+7=88
4.-5x^2=-500
5.-7n^2=-448
6.-2k^2=-162
7.x^2-5=73
8.16n^2=49

Thanks and if you cant answer all of the questions its okay but i really need help because i cant tell my mom im failing math. <3

Click here to see answer by ankor@dixie-net.com(15747)

Question 537909: how would you factor out this rational function and find the domain, and simplify it to its lowest terms ?
f(x)= 2x^2-10x/4x^2-100
Click here to see answer by Earlsdon(6294)

Question 538672: Find the equation of the circle of radius 2 that contains point (3,4) and is tangent to x^2+y^2=25.
Click here to see answer by KMST(1936)

Question 538978: I need to be able to create a rational function with the following qualities:
has no vertical asymptote
has no horizontal asymptote
has no x-intercept
Thanks for any help you can give me!
Click here to see answer by KMST(1936)

Question 540323: Classify function and graph:
y=|x-2|+3
Thank you for helping me!
Click here to see answer by jim_thompson5910(28717)

Question 540487: 18/35 divide 22/25

Click here to see answer by Maths68(1474)

Question 540674: can
2 x squared multiplied by the quantity of x-5
over
x squared plus 10
be simplified?
Click here to see answer by KMST(1936)

Question 541063: The question says:
Evaluate the following function for the given value.
If f(x) = x^2/3 − 5x^1/3 − 125. Find f(−125).
When I tried to solve this I got: 100-5(sqrt5)
The problem states the answer MUST be an exact number, but I cannot get it down to a single number.
Click here to see answer by scott8148(6628)

Question 541117: Let f(x)=-x squared+4x+3. What is the y-intercept? What is the graph of f called? Would the vertex be a maximum or minimum value? What is the axis of symmetry? What is the vertex for f? Graph it.
Click here to see answer by KMST(1936)

Question 541412: How do I simplify -9-2(1-5)to the second power?
Click here to see answer by Alan3354(31538)

Question 542129: How do I do this?
Find: f(3)
f(x)=2x-1
Click here to see answer by jim_thompson5910(28717)

Question 542129: How do I do this?
Find: f(3)
f(x)=2x-1
Click here to see answer by stanbon(57984)

Question 542232: What is the difference rational and irrational numbers?
Click here to see answer by friesr(113)

Question 543588: g(x)=4-3x/2 how would I go about the problem to find the answer?
Click here to see answer by Alan3354(31538)

Question 543702: what is special functions in algebra 2? im tryin to figure this out but i cant please help me! :)
Click here to see answer by richard1234(5390)

Question 544072: Please help! I have been trying. I have to graph with inverse of radical
2 (exponent 4 sqrt x)

Thank you
Click here to see answer by stanbon(57984)

Question 544476: how do you simplify these this expression 3 1/2 * 3 1/3
Click here to see answer by KMST(1936)

Question 544631: Hi, if you will please help with this problem, and please give me step by step insrtuctions if you do that as well

Thank you very much for your time and help.

Click here to see answer by JBarnum(2044)

Question 544727: Please help with this. I need to graph the function and its inverse on the same coordinate system.
Y = 3 index radicand x
thanks so much
Click here to see answer by KMST(1936)

Question 544732: Could someone help with this please? I have to find the inverse and graph the function and its inverse on the same coordinate plane.
Y= (index 3 radicand x)/2
Click here to see answer by ankor@dixie-net.com(15747)

Question 544743: Could someone help me evaluate each expression?
a. 27^1/3
b. (81^1/4)^4
c. (32^1/5)
d. (256^4) ^1/4
thank you!
Click here to see answer by rfer(12731)

Question 544763: Please, Could someone help with this?
The total value (v) of money (m) deposited in an account earning 6% inbterest compounded annually is v = m (1.06)^t where t is the number of years the money is in the account. What is the total value of $500 after 3 years in an account? what would the value be in 1/2 year?

Thanks

Click here to see answer by rfer(12731)

Question 544822: Write the standard equation for the circle with center at (2, -1) and radius 1/4
Click here to see answer by stanbon(57984)

Question 544905: Could someone tell me if the function is even, odd, or neither?
a. y = 2x^3
b. y = 3x^6 + 2
c. y = 1/3x^6
d. y = -0.5x^3 -4
I have: a. odd b. even c. even d.neither

Click here to see answer by stanbon(57984)

Question 545152: Kathy bicycles 6 km/h faster than Javier. In the same time it takes Javier to bicycle 48 km, Kathy can bicycle 66 km. How fast does each bycyclist travel?
Click here to see answer by saifoo.khan(162)

Question 545157: v/21 - v/35 = 1/21
Click here to see answer by saifoo.khan(162)

Question 545165: 5x-20/14 Divided by x-4/21
Click here to see answer by saifoo.khan(162)

Question 545730: y^4-18y^2+81=0
Click here to see answer by saifoo.khan(162)

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