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Math - Simple rational functions (check)

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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...

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?

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.

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 ...

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 ...

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.

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 ...

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.

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...

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 ...

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 ...

Math advance functions gr 12
Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

Math - Simple rational functions (check)
Consider the function f(x) = x/(x-1) Are there any turning points? Explain how this could help you graph f(x) for large values of x? Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where ...

advance functions gr12 HELP ASAP
using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you

advance functions gr12 HELP ASAP
Using rational functions solve 7+ (1)/x = 1/(x-2) thank you

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

advance functions gr12 (SORRY LAST ONE HAD A TYPO)
Using rational functions solve 7+ (1)/x = 1/(x-2)

advance functions gr12
Using rational functions solve (7+ 1)/x = 1/(x-2)

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...

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

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.

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.

Math Rational Functions
What is the domain and range of 2x^2-18/x^2+3x-10

advance functions gr 12
Using rational functions solve 3(numerator) 2x-4 (denominator) < (with a "-" underneath) 4 (numerator) x-2(demominator)

Math rational exponents
what is the domain of these functions? y= -1/5x^(-1/3) and y=10x^ (-1/6)

advance functions gr 12
Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)

advance functions gr 12
Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)

advance functions gr 12
Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

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?

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 ...

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?

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?

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

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...

math. can someone do this for me please....
* Consider the functions f(x)=1/x +4 and g(x)=2/x. Graph f and g on the same grid. a)Determine the points of intersection of the two functions. b)Show where f(x)<g(x). c)Solve the equation 1/x +4=2/x to check your answer to part a). d)Solve the inequality 1/x +4<2/x to ...

****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.

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.

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...

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...

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 ...

math
What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a rational number. Please help me I don't know what to do.

Math Help!!
What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a rational number. How do I explain or do this?!?

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 ...

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

math advanced functions grade 12
Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1

MATH
What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and a rational number.

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, ...

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, ...

Algebra plz check
Find all numbers for which the rational expression is undefined -12/5y. The rational expression is defined for every real number is this correct?

anonymous
1.) an account invested in a month market fund grew from $67,081.20 to $67,359.39 in a month. What was the interest rate, to the nearest tenth? 2.)you are due a tax refund of $760. your tax preparer offers you a no-interest loan to be repaid by your refund check, which will ...

Math
What do you do to check if a number is rational or irrational? In the explanation use a rational and irrational number.

Functions
what is the oblique asymptote of this rational function: (x ^ 3) / (x ^ 2+1)

Reiny and steve do this for me please
1. Consider the functions f(x)=1/(x)+4 and g(x)=2/(x). Graph f and g on the same grid. a) Determine the points of intersection of the two functions. b) Show where f(x)<g(x). c) Solve the equation 1/(x)+4=2(x) to check your answer to part a). d) Solve the inequality 1/(x)+4&...

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...

Algebra
After solving a rational equation, why is it important to check your answer? How is this done? What happens if you are checking a solution for the rational expression and find that it makes one of the denominators in the expression equal to zero?

algebra
after solving a rational equation, why is it important to check your answer? How is this done? What happens if you are checking a solution for the rational expression and find that it makes one of the denominators in the expression equal to zero?

Math - Simple rational Function (check)
Consider the function f(x) = x/(x-1) Are there any turning points? Explain how this could help you graph f(x) for large values of x? Ans: turning points is another word for checking the concavity, and therefore i find the second derivative and equate it to zero and see where ...

Algebra II
Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)

Algebra II
Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x²+7)

Check my CALCULUS answers please!
Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...

Pre-Calc-Please check
Is this correct? Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3 - 3x^2 + 5x+6 Possible roots are p/a = -+1, -+2, +-3, -+6. -+3/2

advanced functions
simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.

Algebra II
Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(3x³+6x-6)/(x²+3x-10)

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 ...

math rational comparing #'s
can you check: < > = -2/9 > -4/9 -1/6 > -2/3 -5/12 > - 3/4 -1 < - 1/3 -5/6 = -10/12 -1/8 > - 1/2 -1.2 > -2.1 -0.6 < -0.52 -1.23 < -1.25 -0.53 < -5.333 -3 1/4 = -3.25 -4 2/5 < -4.12 are these right?

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)

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

Math Check
The only inequalities where I have to check the values between the points are polynomial and rational inequalities, right? And not any other type of inequalites By Checking I mean to know which way to shade on a graph Just making sure

math
x+4/2x*6x^2/x^-16= (x+4)/2x*6x(x)/(x+8)(X-8) rational expression using factoring could some check this.

Math
Why is it necessary to perform a check when solving rational equations?

MATH
solving rational equations solve check your answer 5/3x+1=2

algebra functions
can someone please check my answer For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36

algebra functions check my answer
For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36

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.

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...

algebra
List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) S(x) = 6x4 − x2 + 6x + 12

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.

Math(Please Check)
Problem: 4x/(x+2)-8/(x-1) What I Got: 4x^2-4x-16/(x+2)(x+1) *I had to simplify the rational expression No. At x=0, it doesn't check. The starting problem gives 8, your answer gives -8. I suspect a sign error somewhere. Probably in the denominator, the x+1 should be x-1

Math
What is an example of two functions that intersect at least twice in the first quadrant but can neither be a polynomial or a "simple" function (i.e., sin(x), e^x)?

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.

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

Math Check
Which nonterminating decimal can be converted into a rational number? 0.818118111... 0.020304050... 0.010110111... 0.321321321... *** George has a square sandbox in the backyard. The sandbox has an area of 160 square feet. To the nearest foot, what is the length of one side of...

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. ...

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

Pre-Calc-Please check
I have three questions: 1. What is the remainder of (x^3 + 2x^2 - 5x+4) /(x-3) I think the answer is 34?? 2. Evaluate (4+5i)(2+2i) =4(2) +4(2i) + 5i(2) + 5i(2i) = 8 + 8i + 10i+10i^2(-1) =-2 + 18i 3. Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3...

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 ...

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?

English
Read each sentence then write whether the sentence is simple or not simple My dog Buddy fetches the paper in the morning Simple The subway which runs under the city is a fast way to travel Not simple Cici sings in the school choir simple Jen talks on the phone and does her ...

Check my answers MATH
Which statement about the product is true? 5.643 times 4 point ModifyingAbove 6 with bar The product is irrational. The product is neither rational nor irrational. The nature of the product cannot be determined. The product is rational. Which of the following results in a sum ...

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!

math
can someone check my answer on this one? rewrite with rational exponents: (sqrt5mn)^9 i got: 5^9/2m^9/2n^9/2 is this correct?

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 ...

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 ...

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

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

Math - Simple rational Function (check)
A pollutant has been leaking steadily into a river. An environmental group undertakes a clean-up of the river. The amount of pollutant in the river after t years the clean-up begins is given by the equation N(t)=0.5t+(1/(10t+1)) a) What quantity of pollutant was in the river ...

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

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

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

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 ...

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