Number of results: 133,872

**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*

**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*

**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*

**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*

**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 don't 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 advance functions gr 12**

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

*April 1, 2013 by alex*

**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*

**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 (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 don't understand how to solve for a and b.

*January 27, 2007 by luke*

**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 don't 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*

**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*

**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 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**

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?

*October 19, 2014 by Sarah*

**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*

**Rational Functions**

Write an equation for a rational function whose graph has the following properties: x-intercept of 3 y-intercept of -3 vertical asymptote of x=-2 horizontal asymptote of y=2

*October 6, 2014 by Rebecca*

**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*

******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*

**m240**

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes My answer is B is this correct.

*March 14, 2017 by sandra*

**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**

1. Is square root of negative 10 irrational or rational? 2. Is 2.79797979... irrational or rational? I'm not very good at identifying irrational and rational numbers at least I tried too. 1. irrational 2. rational

*October 26, 2016 by Ras*

**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**

Will the values described in each situation be rational or irrational? Select Rational or Irrational to describe each situation.I put "R" and "I" to represent the choices I choose. the length of a rectangle with a rational area and irrational width :R the area of a circle with...

*December 2, 2016 by Deza*

**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 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)=(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 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**

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*

**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*

**Math**

Which set of numbers best describes the displayed weights on a digital scale that shows each weight to the nearest half of pound. A) Whole B) Rational C) Real D) Integers My answer is Rational because rational numbers can be written as a decimal or fraction where a/b. Thanks

*September 7, 2015 by Tamara*

**Math**

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning.

*November 28, 2016 by Anonymous*

**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*

**Math**

Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With the functions: f(x...

*January 26, 2015 by Jenny*

**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*

**Adv functions**

Given that the cubic equation has rational coefficients and has the root , determine the values of a and b. I got a=2 and b=4. But the answer is a=-6 and b=-20

*October 4, 2016 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*

**Pre-algebra**

Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him ...

*November 1, 2016 by Britney*

**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 - 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*

**Intermediate Algebra (math)**

(8x^2y^2+4xy^2-12y^2) ÷ 4xy^2 I received this problem. I was told to divide the rational expression. The problem I am having is I feel like something is missing. I only understand to divide rational expressions we take the first rational expression and multiply it by the ...

*September 17, 2015 by Steph*

**Intermediate Algebra (math)**

(8x^2y^2+4xy^2-12y^2) ÷ 4xy^2 I received this problem. I was told to divide the rational expression. The problem I am having is I feel like something is missing. I only understand to divide rational expressions we take the first rational expression and multiply it by the ...

*September 17, 2015 by Steph*

**Math**

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions a) f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

*December 31, 2015 by Matt*

**Math**

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

*January 1, 2016 by Matt*

**math**

classify the following number as rational or irrational: 4.1 My guess is Rational

*February 2, 2015 by Elena*

**math help**

how do prove that this equation has rational roots for all rational values of K 3x^2+kx-k=3x

*March 31, 2015 by jennifer*

**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**

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*

**math**

which statement is false? A: 3.648 reapeating=is rational B:-3 2/13=rational

*February 15, 2013 by Taylor*

**Math**

Find all possible rational roots using the rational root theorem. x^4 - 3x^2 + 12 = 0 Plus/minus 1, 2, 3, 4, 6, 12?

*November 16, 2014 by Anonymous*

**Math-Measure's & area**

1. Find the area of a parallelogram with base b and height h. B=82cm H=16.6cm a.**1,361.2 cm^2 b.6,724 cm^2 c.137.78 cm^2 d.98.6 cm^2 2.Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, and integer. 0.123333... a....

*March 17, 2016 by Boby*

**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*

**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*

**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*

**Math Check Pleas Thank You**

1. Which of the following numbers is an example of an integer? 15 * 0.252525 . . . 3/5 (fraction) Square root of 7 2. Which statement is false? Every integer is a real number. The number zero is a rational number. Every irrational number is a real number. Every real number ...

*September 16, 2015 by YOLO*

**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 true? A. All irrational numbers are also rational numbers. B. Half of the irrational numbers are also rational numbers. C. One-third of the irrational numbers are also rational numbers D. Irrational numbers cannot be classified as rational numbers. Is the ...

*September 26, 2014 by Anonymous*

**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 ...

*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*

**Math**

Which statement is false? A. The number zero is a rational number. B. Some irrational are also rational numbers. C. Every irrational number is a real number. D. Every integer is a rational number Is the answer C?

*October 17, 2014 by happy*

**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*

**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*

**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*

**Geomatry**

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6

*December 4, 2014 by lisa*

**algebra**

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6

*December 4, 2014 by lisa*

**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*

**math test**

Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't 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 ...

*October 11, 2007 by Keon*

**PLEASE CHECK MATH TY!**

1. Which of these numbers can be classified as both real and rational? A. 1/2 *** B. -1.016879413894 C. √5 D. 0.89089908999 2.Which is both a real number and an integer? A. √7 B. 0.15 C. -15 *** D. 1/3 3. What is an example of an irrational number? A. -√16 B. √25 C...

*November 10, 2016 by Doge*

**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*

**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 11 - Rational Expressions**

I really don't understand how you find or identify the restrictions at all for rational expressions, can someone talk me through 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...

*June 20, 2014 by M.*

**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*

**functions**

Identify a rational function whose graph is a horizontal line except for two holes. Graph function.

*September 29, 2010 by Tori*

**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*

**MATH HELP PLEASE**

Which statment is false? A. The number zero is a rational number. B. Some irrational numbers are also rational numbers. C. Every irrational number is a real number D. Every integer is a rational number Is the answer C?

*October 17, 2014 by anonymous*

**Math**

Proove that: a)2^(1/2) is not rational. b) prove that 2^(1/3) is not rational. I have managed to prove the first part, but i am stuck on the second can someone give me an hint please?

*February 1, 2015 by arthur*

**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**

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**

Real, Rational, Irrational, Integer, Whole, Natural 4 1/8 Rational Real

*December 3, 2014 by M*