Thursday

September 18, 2014

September 18, 2014

Number of results: 94,735

**Calculus**

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...
*September 13, 2007 by Kelly*

**MATH _ GRAPHING RATIONAL FUNCTIONS**

When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?
*October 14, 2007 by Anonymous*

**Math- Rational Functions**

1. Some rational functions have asymptotes, others have holes, and some have both. Explain how you can identify, without graphing, which graphical features a rational function will have. Can someone explain this thoroughly ? I don't understand. thanks in advance.
*October 5, 2008 by Mae*

**math**

hello, i have some question about rational functions. 1) are there any sites that are good in teaching graphing rational functions? 2) for the domain of the rational function it is what the denominator cannot equal to rite? for example the denominator of x^2-7x+10 can be ...
*October 23, 2007 by julie*

**Gr.11 - Rational functions graphing.**

1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. 3. Identify a rational function who ...
*October 6, 2008 by Mae*

**calculus: Rational Functions**

I do not understand how to complete rational functions: ie: As x (arrow) -3, f(x) (arrow) ?. Our book sucks and our instructor is little help. Thank you.
*April 1, 2008 by Pam*

**Math Rational Functions-Please Clarify =)**

I have a question about the rational function I recently posted. Would the range still be (-∞,2)U(2,∞) if the rational function is what Reiny posted "(2x^2-18)/(x^2+3x-10)." The y-intercept confuses me because its (0,1.8) and when I look at the line it passes ...
*October 15, 2012 by Enlia*

**Math**

For the given functions, write the rational function, r(x) = [f(x-h)-f(x)]/h and simplify: a. F(x) = 2x+3 b. F(x) = 1/(x+1) c. F(x) = x^2 --- Just need to know that the rational function is and maybe I can do the questions. Thanks.
*February 9, 2010 by Anonymous*

**Math advance functions gr 12**

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
*April 1, 2013 by alex*

**Pre-Calculus**

Rational Functions y = (x^2+7x-4)/(x-2) Since the degrees of both the numerator and denominator are the same, I would use the leading coefficient, and both the rational functions start with 1, so would the horizontal asymptote be 1? Also dont get how to find the horizontal ...
*October 2, 2012 by Shreya*

**Algebra**

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the ...
*May 2, 2011 by Debra*

**Math-Rational #'s**

Just trying to understand this. Please let me know if I did these right. Thanks!!! -7 as a rational # = -7/10 -3.03 as a rational # = -33/10 -2 3/12 as a rational # = -25/12 1.03 as a rational # = 13/10
*March 15, 2010 by Kate*

**advance functions gr12 HELP ASAP**

using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you
*April 2, 2013 by ALEX*

**advance functions gr12 HELP ASAP**

Using rational functions solve 7+ (1)/x = 1/(x-2) thank you
*April 2, 2013 by james*

**advance functions gr12 (SORRY LAST ONE HAD A TYPO)**

Using rational functions solve 7+ (1)/x = 1/(x-2)
*April 2, 2013 by james*

**advance functions gr12**

Using rational functions solve (7+ 1)/x = 1/(x-2)
*April 2, 2013 by james*

**Math**

Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please
*June 7, 2009 by Halle*

**rational functions**

A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I dont understand how to solve for a and b.
*January 27, 2007 by luke*

**Math Rational Functions**

What is the domain and range of 2x^2-18/x^2+3x-10
*October 15, 2012 by Enlia*

**rational functions... PLEASE HELPPPPP**

A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I dont understand how to solve for a and b.
*January 27, 2007 by luke*

**Math rational exponents**

what is the domain of these functions? y= -1/5x^(-1/3) and y=10x^ (-1/6)
*November 14, 2010 by Charm*

**advance functions gr 12**

Using rational functions solve 3(numerator) 2x-4 (denominator) < (with a "-" underneath) 4 (numerator) x-2(demominator)
*April 1, 2013 by james*

**advance functions gr 12**

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
*April 1, 2013 by Fadak*

**advance functions gr 12**

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
*April 1, 2013 by Fadak*

**advance functions gr 12**

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
*April 2, 2013 by james*

**Math (calc)**

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I guess there aren't any...
*November 7, 2009 by Elizabeth*

**Algebra 1 **

Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?
*May 16, 2014 by Anonymous*

**Algebra 1 **

Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?
*May 16, 2014 by Victoria*

******college algebra…radical functions******

Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.
*October 16, 2011 by Brianna *

**Math**

2-4 paragraphs plus two graphs Details: Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the gas required varies as...
*January 21, 2008 by Nathan*

**Math**

Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
*October 28, 2006 by Vianna*

**math advanced functions grade 12**

Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1
*July 24, 2012 by illiah*

**math**

What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...
*November 17, 2013 by B8*

**math- please help**

What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...
*November 17, 2013 by B8*

**Functions**

what is the oblique asymptote of this rational function: (x ^ 3) / (x ^ 2+1)
*April 18, 2013 by Lg*

**Math**

I just wanted to check my answers with anyone willing to take the time. Identify all sets that -3/4 belongs to: a.whole #s, integers, rational #s b.rational #s c.integers, rational #s d.odd #s, whole #s, integers, rational #s Ithought it was C How many centimeters are equal to...
*December 14, 2006 by Katie*

**Algebra II**

Give the equations of any horizontal asymptotes for the graphs of the rational functions. h(x)=(7x²-8x-5)/(8x²-3x+9) g(x)=(x²+4x-8)/(x-8)
*July 6, 2011 by CC*

**Algebra II**

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)
*July 6, 2011 by Reanna*

**Algebra II**

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(3x³+6x-6)/(x²+3x-10)
*July 6, 2011 by Reanna*

**Algebra II**

Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)
*July 7, 2011 by Matt*

**advanced functions**

simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.
*July 30, 2010 by tim*

**Algebra**

Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
*October 29, 2006 by V*

**Math(dispute to previous question)**

2)Name the sets of numbers to which 457 belongs. (answer)natural,whole,integers,rational,reals My book says that every REAL number has to be rational or irrational. Blueridge said that my answer was correct except to exclude rational from my list. From what my book says I HAVE...
*February 24, 2008 by Jon*

**Functions in Math**

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.
*October 15, 2007 by Lena*

**rational functions**

If f(x) is a polynomial function, does 1/f(x) always have a horizontal asymptote? Explain why or why not and provide a counterexample if needed.
*May 2, 2009 by Anonymous*

**math**

HELP. Help I have to decide whether these are rational or irrational. .73737373... .61611611161111..... 1/23 Can someone explain this to me? Rational numbers are just fractions. The decimal expansion of fractions will either terminate or it will become periodic after a while. ...
*May 6, 2007 by Kimberly*

**9th grade**

Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers
*September 20, 2010 by Ross*

**Math - Rational Roots**

1.) What are the possible rational roots of the function f(x) = 3x^4 - x - 2 2.) What are the rational roots of the following equation: x^3 - 4x^2 - 4x +16 = 0 Thank you for any help!
*September 12, 2010 by Julia*

**Maaaaath**

When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?
*October 14, 2007 by Anonymous*

**math**

If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx-6a²-ab+2b²=0 are rational.
*July 7, 2014 by vaish*

**math**

which statement is false? A: 3.648 reapeating=is rational B:-3 2/13=rational
*February 15, 2013 by Taylor*

**Math**

Identify all sets to which the number 3 belongs A. Whole numbers, integers, rational numbers B. Rational numbers C. Integers, rational numbers D. Even numbers, whole numbers, integers, rational numbers I THINK IT'S A
*December 12, 2012 by Frances*

**advanced functions/precalculus**

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...
*January 15, 2014 by Diane*

**math help me!!**

is square root of 56 a rational number? explain uranswer using what you know about rational and irrational numbers. thnx alot!
*April 13, 2011 by alexis*

**math,help,bobpursly**

What are some challenges for rational expressions? Also on my previous question about why are polynomials important bobpursly can you expalin it to me towards what you ment about your responce because i still do not undertand...thanks when you get a chance. Polynomials are ...
*March 5, 2007 by jas20*

**6TH GR. ALGEBRA **

EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.
*December 16, 2009 by Amelia*

**algebra1**

I have a question does anyone have the Rational Expressions and Functions Unit Test questions and answers?? If you can you plzz help me out i am almost done
*May 19, 2014 by Tommy*

**Calculus**

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and the ...
*September 2, 2013 by Bee*

**math**

List all possible rational zeros of... h(x)= 2x to the (4th power) - 5x (to the third power) + 3x (to the 2nd power) + 4x - 6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides 2. You then find the...
*May 21, 2007 by Kate*

**discrete math**

1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive? For 1) use the definition of a non-zero rational ...
*September 28, 2006 by thisha*

**math test**

Hi! I have a math test coming up tomorrow, and I need to prepare. but,i dont know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function notation...
*October 11, 2007 by Keon*

**Precalculus**

I'm HOPING this is the last problem I need help on.. :-/ List the possible rational zeros of f using the rational zero theorem. f(x) = 2x^3 - x^2 + 5x + 6 I applied the rational zero theorem, but none of the factors worked :(
*September 17, 2009 by Emily*

**College Algebra**

Given the following rational functions,find:a.)the horizontal asymptote(s), b.)the vertical asymptote(s), if any,and c.) the oblique asymptote(),if any. f(x)=x(x-17)^2/(x+12)^3
*December 18, 2012 by Shasta*

**Calculus**

Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x If f = {(-2...
*September 2, 2013 by Britt*

**Math 11 - Rational Expressions**

I really don't understand how you find or identify the restrictions at all for rational expressions, can someone talk me thru it? I have a math exam Monday and I'm stressed. Thanks. Here are some examples for my textbook if needed... 1) 2x + 1 / 2x - 1 2) x-5 / x^2 + 3x + 2 3...
*June 20, 2014 by M.*

**Calculus**

Which of these rational functions has a ) horizontal asymptote? a slant asymptote? no vertical asymptote? r(x)= 2x-1/ x^2-x-2 = 2x-1/ (x-2)(x+1) s(x)= x^3+27/x^2+4 = (x+3)(x^2-3x+9)/(x-2)(x+2) t(x)=x^3-9x= x(x-3)(x+3)/x+2 u(x)=x^2+x-6/x^2-25= (x+3)(x-2)/(x+5)(x-5) I do not ...
*October 12, 2009 by Anonymous*

**algebra**

Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. 4/x-y , 5/2y-2x
*July 13, 2009 by Joe*

**Math**

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. -2x^4+4x^3+3x^2+18
*February 18, 2014 by John*

**math**

which statement is false: A: 3.648 reapating 8= is rational B:-3 2/13= is rational C: 3.605551275464...=is irrational D: -3.744= is irrational
*February 15, 2013 by Taylor*

**functions**

Identify a rational function whose graph is a horizontal line except for two holes. Graph function.
*September 29, 2010 by Tori*

**math**

A: 3.648 reapating 8= is rational B:-3 2/13= is rational C: 3.605551275464...=is irrational D: -3.744= is irrational
*February 15, 2013 by Taylor*

**math**

A: 3.648 reapating 8= is rational B:-3 2/13= is rational C: 3.605551275464...=is irrational D: -3.744= is irrational
*February 15, 2013 by Taylor*

**Math**

use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g X f)^-1 Would the answer be x+1 over 2?
*February 20, 2009 by Dan*

**math**

1. Which of the following numbers is an example of an integer? a. -15 b. 3/5 c. ^7 d. 0.252525... 2. Which statement is FALSE? a. Every integer is a real number. b. The number zero is a rational number. c. Every irrational number is a real number. d. Every real number is a ...
*August 27, 2012 by Nyla*

**Math**

Which of these rational numbers does the Rational Roots Theorem say can't be a solution to 14x7 + 13x5 − 19x4 + 7x2 − 6x − 21 = 0? A. 3/2 B. 2/7 C. -1 D. -(1/2)
*December 14, 2012 by Pat*

**Math**

3) Explain how the laws of exponents work with rational exponents and give at least one example of an expression containing rational exponents... Please help.. I can't find the answer to this anywhere..
*August 5, 2010 by June*

**Math**

True or false Some rational numbers are integers. The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function
*November 22, 2013 by KGK*

**Math**

Some rational numbers are integers. True or false The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function.
*November 22, 2013 by KGK*

**Math - Functions**

For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?
*May 2, 2007 by UnstoppableMuffin*

**Math - Functions**

Is it possible to graph linear functions like h(x) = 3x + 7 without doing a table of values? If it is, how? And I know the slope is 7, which means the y-intercept is (0,7).
*December 18, 2007 by Anonymous*

**Math**

Use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g x f)^-1
*March 25, 2009 by Jake*

**Algebra**

Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? doesn't arithemetic do something like a constant slope? I think so! ♥☻☺▬M!«5•ÄUÄ{A']○♥]
*January 31, 2007 by Sandra*

**Algebra**

Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -1, 3, 9, 27 Factors: 3, -1, 3 +-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)
*April 3, 2008 by Sara*

**Algebra 1**

Which statement about real numbers is true? Across the heading says: real numbers. The first big circle says: rational numbers The second biggest circle inside rational numbers says: integers The third circle within the rational numbers says: whole numbers. Then there is a ...
*January 23, 2014 by Cassie*

**calculus**

A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. Find f(0) and lim x->...
*November 14, 2011 by Gretchen*

**Calc**

A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. Find f(0) and lim x->...
*November 14, 2011 by Gretchen*

**math**

for the given functions f and g, find the specified value of the following functions and state their domains: f(x)=x-5; g(x)=2x^2 a.(f+g)(3)= b.(f/g)(3)= Can someone help me figure this out? pleeeease????
*March 27, 2013 by asia*

**ALGEBRA**

SIMPLIFY: 5 ROOT OF 6X +4 ROOT OF 6X IS THE ROOT OF 77 IRRATIONAL OR RATIONAL? SIMPLIFY: 8 + ROOT OF 24 DIVIDED BY 2 IS THE ROOT OF 49/100 RATIONAL OR IRRATIONAL AND IS THE ROOT OF 121 RATIONAL OR IRRATONAL? SIMPLIFY: ROOT OF 3X/2 THANKS IN ADVANCE!!!I AM FLUNKING THIS MATH ...
*June 10, 2007 by Tomika*

**Math**

Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 20sqrt(x^12)
*April 17, 2010 by Help please*

**Math**

Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 3sqrt(2)/ 5sqrt(2)
*April 17, 2010 by Help please*

**math :] 2**

Is 14/3 a rational number? I think so... but I'm confused because if you divide 14 by 3 then the decimal part is .66666666666666666666667. Is that considered a repeating decimal? If it is, then it's a rational number. I'm just doubting because of the 7 at the end. THANKS SO ...
*February 18, 2008 by LILY*

**math**

Describe a method you can use to shorten the list of possible rational zeros when using the rational zero theorem? I know how to do the problems, I just don't know how to shorten that method. Please help me.
*October 17, 2013 by Faith*

**advance functions gr12**

write an equation for a rational function whose graph has all of the indicated features: -vertical asymptote with equation x=3 -horizontal asymptote with equation y=2 -hole at x=1 no x intercept thank you
*April 2, 2013 by sam*

**Math**

Are there more rational or irrational numbers? I am thinking irrational, because the product of a rational and irrational number is irrational. Is this enough of a reason to prove it?
*January 28, 2013 by Chuck*

**Algebra**

Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
*July 29, 2009 by Alicia*

**Advanced Math.**

List the possible rational roots of 2x^3 + 17x^2 + 23x - 42 = 0 My answer: the possible rational roots are {±1, ±2, ±3, ±6, ±7, ±14, ±21, ±42. ±1/2, ±3/2, ± 7/2, ±21/2}. Correct?
*March 23, 2009 by Jamie*

**Algebra 2**

i am stuck. Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^b)3 is also rational. ^ = sq root sign Thanks
*March 31, 2010 by brenna*

**Algebra**

Use the Rational Theorem to list the possible rational roots. f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5
*March 21, 2010 by Paula*

**algebra**

Anyone? Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^b)3 is also rational. ^ = sq root sign Thanks
*March 31, 2010 by brenna*

**exponential functions in math**

my daughter needs some help studying for a unit test using exponential functions in math
*April 2, 2013 by tiffny*

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