Saturday
December 10, 2016

# Search: Math- Rational Functions

Number of results: 129,282

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

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

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

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

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

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

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

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

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

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

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)

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

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
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

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

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

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

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

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
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

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

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

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

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

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

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

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
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

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

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

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

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

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
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

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
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

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