# Find the domain, range and horizontal asymptote

94,330 results

### PreCalculus

State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function. y= (5-x)/(x+3) I already know that the Vertical asymptote is -3, so that means the domain is everything except -3, but how do I find the Horizontal ...

### math

find the domain, range, y and x-intercept, vertical asymptote, maximum, minimum, one-to-one, and horizontal asymptote of: a. f(x)=x^2-6x+5 b. f(x)=x^2-6x+5 on domain [-1,6]

### Functions, domain,range etc

Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4-x). Graph the function

### Find the domain, range and horizontal asymptote

Find the domain, range and horizontal asymptote f(x)=2^-x-2

### Algebra - Help!

Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the Domain: Vertical asymptote(s): Hole(s): Horizontal asymptote (if exists):

### Algebra-I'm still stuck

The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated. Algebra - helper, Wednesday, February 2, 2011 at 7:...

### pre calculus

graph the function below. Determine the domain, range and horizontal asymptote. f(x) = -(3/4)^x - 1

### algebra

determine the domain, range and horizontal asymptote Please show all your work f(x) = - (3/4)^x - 1 Help!

### precalculus

use transformation to graph the following function - state domain, range and horizontal asymptote f(x)= e^5x.

### math

graph the function below. Determine the domain, range, and horizontal asymptote. show work f(x)=(7/5)^(x-3)

### Math

For the following function, state: i. the domain and range ii. the y-intercept, and iii. the horizontal asymptote f(x)=(2)x−7

### pre cal

f(x) = two divided by quantity x squared minus two x minus three Graph A coordinate axis scaled by one. Domain and Range : _____________________ x and y Intercept(s) : _____________________ Horizontal Asymptote(s) : ___________________ Vertical Asymptote(s) : ...

### COLLEGE ALG

use the transformations to identify the graph of the function. then determine its domain, range, and horizontal asymptote. f(x)=4+3^X/3

### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] 3. domain: (-oo, oo) range: (-oo, 0) 4. ...

### precalculus check immediately

suppoe f is a function with domain [1,3]and range[2,5]? define functions g and h by g(x)=3f(x)and h(x)=f(4x) what is domain and range of g what is domain and range of h I solved it and got it like this domainof g=[1,3]and range of g=[3,9] Domain of h=[4,12] and range of h=[2,5...

### Algebra 2

Identify the holes, vertical asymptotes, x-intercepts, horizontal asymptote, domain, and range of: x^2-2x-8 f(x)= --------- -2x+2 Please explain how you got all of this info.

### college alg

use the transformations to identify the graph of the function. then determine its domain, range, and horizontal asymptote. f(x)=4+3^X/3 please show work

### Algebra

23. The ___ axis represents the independent variable. X? 21. 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 I'm not sure 27. The ...

### Math (Integrals)

The area A between the graph of the function: g(t) = 4 - (4/t^2) and the t-axis over the interval [1, x] is: A(x) = ∫[1, x] (4 - (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph g is g(t) = 4. b) Integrate to find A as ...

### Precalculus

Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1 d) a vertical asymptote at x = -1 and a horizontal asymptote at ...

### MAth

how do i find the domain and range of equations? example: f(x)=ab.solute value of x-3. f(x)=square root 36-x^2 g(x)=-2x+2. how would i know what the domain and range is of these. could i use a graphing calculator to tell me the domain and range??

Consider the function g(x)=x/x-7. a) Determine an equation for the vertical asymptote. b) State the domain. c) Determine an equation for the horizontal asymptote. d) State the range. e) Sketch the function. ( i will do it) f) Summarize the increasing and decreasing intervals. ...

### Math - horizontal asymptote of f(x) (check)

What is the horizontal asymptote of f(x)=x/(x-1)^2 It is supposed to be y=0 but then I even know that b/d is the horizontal asymptote, in this since there is no b, it would be 0/1 which is 0 is the above reasoning correct?

### Algebra

Find domain and range of each. {(-1,2) (0,2) (1,3) (2,2)} Domain: {-1,0,1,2} Range: {2,3} {(1,5) (2,9) (3,9)} Domain: {1,2,3} Range: {5,9} {(1,2) (1,5) (3,7)} Domain: {1,3} Range: {2,5,7} Are these all right?

### math

Suppose the the limit as x approaches 6 to the left equals infinity. What conclusion can be made about the graph of y = f (x)? there is a horizontal asymptote at y = -6 there is a horizontal asymptote at y = 6 there is a vertical asymptote at x = -6 there is a vertical ...

### math (2nd Try)

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain: 1<s<6 Range: 24&...

### Pre-Cal.

find the domain, range and the asymptote(s), of each function on the same coordinates plane for this equation... f(x)= 3+ lnx and graph them.

### alg 1

Quadratic graphs and their properties: Identify the domain and range of each function: y = 4x^2 - 3 I have no idea how to find the range and domain. Would you please explain in detail how I can determine the domain and range in the quadratic problems?

### Math (Domain and range)

Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation? I believe the domain is (-infinity,infinity) but how would I find the range?

### Math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain: 1<s<6 Range: 24&...

### college algebra

Given the following rational function, find a. the horizontal asymptote(s), b. the vertical asymptote(s), if any, and c. the oblique asymptote(s), if any. f(x)=(x^2-x-2)/(2x^2-x-10)

### 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

### calculus

The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A.the horizontal asymptote(s) B.the vertical asymptote(s) C. describe their possible meanings Horizontal asymptote is y=-100 vertical asymptotes are x=-10...

### Math - Graphing a function

Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph to the Dropbox. f(x) = (3/2)^(4-x)

### math

questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x-2)) andd. 2. Let f(x)= (absvalue(x))/x. Show that f(x)={ 1, x > 0 {-1, x < 0 Find the domain and range of f(x).

### Algebra. Formalizing relations and functions

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8} B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/

### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5} 4. Domain: {0, -2, 2, 1, -5}; Range: {2...

### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5} 4. Domain: {0, -2, 2, 1, -5}; Range: {2...

### Math

If f(x)=sin(x) and g(x)=x^2-x+1, find the domain of f(g(x)) and g(f(x)). I was able to determine that: f(g(x))= sin(x^2-x+1) and g(f(x))= sin(x)^2 -sin(x) +1 Here is what I am thinking: the range of f(x) is (x e R) and the range of g(x) is {x e R). Therefore the domain of f(g(...

### math

Explain why the graph of g(x) = 1/x has a horizontal asymptote. What is the equation of this asymptote? Will all reciprocal functions have the same horizontal asymptote?

### precalculus

given the following rational function f(x)= x^2+5x-7 / x-4 state domain, find vertical, horizontal and oblique asymptotes if any. I found the domain to be (-inf.,4)U(4, inf.) and vertical asymptote at x=4 am I right? can someone help me with the rest?

### Math

Need help with domain and range how do you find the domain and range of y=x+8. after that one how do you find the domain and range of 7x+y=1

### Algebra

Totally confused! Got 5 more of these to do and need some guidence please. Let f(x) = e^x–2 + 3. (a) Describe in words how the graph of f can be obtained from the graph of y = e^x (b) What is the domain of f? (c) What is the range of f? (d) What is the y-intercept? State the...

### Math (pre-calculus)

Hey! I have a domain and range question! I don't remember how to get these, can you help? How do you calculate the domain and range of these? What's the domain and range of each? a. f(x)= 1/x=3 b. g(x)= [square root of] (x+6) c. h(x)= x^3+2x+5 Thanks for help!:)

### math

describe the transformation of y=8^x+2 from the graph of y=8^x then state the asymptote and domain and range.

### Algebra ll

Please help..I do not understand any of this... Analyze the graph of the function f(x)=x^2+x-42/x+3 a.)what is the domain? b.)what is the equation of the vertical asymptote of f(x)? c.)What is the equation of the horizontal or oblique asymptote? d.) choose the correct graph.

### Algebra

Totally confused and have 5 more problems like this. Can someone explain each step for these questions? Thanks! Let f(x) = e^x–2 + 3. (a) Describe in words how the graph of f can be obtained from the graph of y = e^x. (b) What is the domain of f? (c) What is the range of f...

### pre calculus

given the following rational function a. state the domain b. find the vertical and horizontal asymptotes if any c. find the oblique asymptote f(x) = x^2 + 7x + 5 / x + 8

### College Algebra... HELP

Determine the domain, range, and vertical asymptote.Graph f(x)=-6-Inx

### algebra

Find the horizontal asymptote of the graph of y=-4x^6+6x+3 / 8x^6+9x+3 please explain i think there is no horizontal asymptote

### algebra

Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive integers no it is not a ...

### College Algebra

3x-1/x^2-10x+26 Find all (real) zeros of the function Find all (real) poles of the function The function has... A horizontal asymptote at 0? A non-zero horizontal asymptote? A slant asymptote? None of the above

### Calculus

I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function? (more preferably range...I'm okay but shaky on domain) Ex: f(x)=1/(x^2) Also, how do you write the domain and range with notation? Like when you use ...

### Urgent math

g(x) = log3(x + 3) state its domain, range, and asymptote. i am having trouble with this can somebody help me?

### Calculus with analytic geometry

What is the range and domain, x and y intercepts, symmetry and asymptote of this given equation, f(x) = 2x^2 - 8 / x-1

### math

i suck at domain and range.... this doesn't make any sense... a. Given the relation {(-3,-2)(-1,0)(2,-1)(3,5)}, explain why the domain would NOT be -3 <or less than x <or less than 3(-3 <_ x <_ 3) and similarly the range would NOT be -2 <or less than y <or ...

### algebra

Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4<=4<=4 2) graph 4x^2+y^2=9. what are its lines of symmetry? it has two lines of symmetry, the x axis and the y axis 3...

### pre calculus

use the seven step method to graph the following rational function: f(x)=3x^2+x-4/2x^2-5x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot the points between and beyond the x ...

### College Algebra

1.Use completing the square to describe the graph of the following function. Support your answer graphically. f(x) = -2x^2 + 4x + 5 2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. R(x) = 5x/x+7 The vertical asymptote(s) is...

### Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for an inverse function ...

### Maths

Given the equation y=2x-4 of an exponential function f 1)write down the equation of horizontal asymptote of f 2)determine the y intercept of f 3)determine the y value of a point on f with x=-2 4)draw the graph of the function of f showing all critical poins and asymptotes 5)...

### pre-calculus

solve the equation 1. In x + In (x+12) =2 x= ? or either there is no solution 2. solve the exponential equation 9^x=6 What is the exact answer? 3. Use transformations to indentify the graph of the function. Then determine its domain, range, and horizontal asymptote. f(x)=2^-x+...

### algebra

can someone help me find the domain and range of the function f(x)=3(x-3)^2-1 I think the domain is all real numbers but I'm not sure about the range

### Calculus

Let f be the function given by f(x)= 2x/(sqrt(x^2 +x +1)) c. Write an equation for each horizontal asymptote of the graph of f. d. Find the range of f. Use f'(x) to justify your answer.

### algebra

above the x axis a dot on the -2 line up to 2.5, and another dot on -3 line up to 4.5, that's on left side, then right side a dot on 2 line up 2.5, and another on line 3 up to 4.5. Not sure how to figure this is someone is willing to help. possible answers; domain: {–3, –2...

### Math

P(x) = (2x^3+x^2-18x-9)/(x^2-x-6) 1.Find any holes in the graph of P(x) 2.Find any horizontal or oblique asymptote 3.Determine where it crosses the horizontal/oblique asymptote (if it does)

### calculus

f(x)= (5x^4 + 5x^3 + 6x^2 + 8x + 5)/(1x^4 + 1x^3 + 1x^2 - 9x + 4) What is the equation of the horizontal asymptote? y = ___? Does the graph of f(x) intersect its horizontal asymptote? (yes or no) If yes, at what x-values does f(x) intersect its horizontal asymptote? Give your ...

### 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 ...

### Algebra

I think this is a easy trick question, so I probably know the answer but I just wanted to double check. What is the domain and range of the function f(x) = 3^x Find the f^-1 and its domain and range? Thanks for your help.

### Algrebra II

hi, thanks for reading this I have a question for finding vertical and horizontal asymptotes! as to finding the intercepts, domain, and graphing it all together... like y= 6 over (x+3) I don't quite understand the concepts and things, but if you can give me a hand that'll be ...

### Algebra (Last Question)

I have - to graph each relation - decide if it is a function - state the domain and the range. 1) {(2,3),(4,-3),(5,1),(-1,3)} how would I decide if something is a function in general? I kind of remember the domain and the range,but since I did this 2 years ago I forgot. Is the...

### math

given the domain of g(x) is (-3,5) and the range of g(x) (-10, 10) find the domain and range of the transformed function 4g(x-7)+12

### Math

Analyze the function algebraically. List its vertical asymptotes, holes, y-intercept, and horizontal asymptote, if any. q(x)= -4/x-2 vertical asymptote= hole= horizontal asymptote= y-intercept=

### Math

What is the: - vertical asymptote -horizontal asymptote -non permissible value of y=(x^2+x-12)/(x+4) ? So this simplifies to a linear function y=x-3. BUT the oblique asymptote is also y=x-3. So does this graph not exist? I am really confused.

### Calculus

Find DOMAIN and RANGE of the following: a) f(x)= 3/(|x+3|) b) 1/(cube root of 9x-x^2) c) ln(9x+x^2) Please help, I have no idea how to find domain and range of these. Step-by-step would be really helpful. Thank you so much!

### math

describe the transformation of y=log (x-4) -1 2 from the graph of y=log X. 2 then state the asymptote and the domain range.

### college algebra

Given the following rational function, find: A. horizontal asymptotes B. vertical asymptote(s), if any C. oblique asymptote(s), if any f(x)=x^2-x-2/2x^2-x-21

### College Algrbra

Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 find (a) the horizontal asymptote(s) (b) the vertical asymptote(s), if any and (c) the oblique aasymptote(s) if any

### Math

Find the domain and range y=x^2-3x+8. Explain how you found the domain and range.

### Pre-Calculus

Rational Functions does the following function have a hole or a vertical asymptote or both? how do you know? find the y-value at that point. y=x^2+7x+12/x^2+8x+15 I factored this out to y = (x+3)(x+4)/(x+5)(x+3) The x+3's cancelled out. I don't get the whole verticle and ...

### calculus

graph this function and determine the domain,range and vertical asymptote. f(x)=In(4-x) no need to graph just assist with points

### Calculus

Which of the following would have a horizontal asymptote of y = b/a? Which one has a horizontal asymptote of y = 0? ( bx^3 - x^2 + 3 ) / ( ax^2 - 2 ) ( bx^3 - x^2 + 3 ) / ( ax^3 - 2 ) ( bx^3 - x^2 + 3 ) / ( ax^4 - 2 ) ( bx^2 / a ) - 6 Please explain! :)

### Algebra 2

Hi, I need help finding the domain and range of the Quadratic Model on part b. I've included part a. just in case you may need it. a.The parabolic path of a thrown ball can be modeled by the table. the top of the wall is at (5,6). Will the ball go over the wall? If not,will it...

### Algebra

What is the difference between domain and range? Describe a real life situation that could be modeled by a function? I think I understand domain and range. Domain is the x axis and range is the y axis correct? I need help with applying it to real life. Thank you.

### Calc

range of f(x)= 5^(2x^2-1)^(1/2) i know that the domain of the inverse would be the range of this and i've found the inverse but it has natural logs in it and i don't know how to find the domain with that.. i feel like i'm missing something simple

### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, -2, -3, 6} range: {-2, -1, 0, 1, 3} c. not a...

### Algebra- is my answer right

The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated. Algebra - helper, Wednesday, February 2, 2011 at 7:...

### algebra

find the domain and the range f(a)=t f(b)=s f(c)=q f(d)=t f() domain a,b,c,d range t,s,q,t Ican not remember if I am suppose to put the second t i the f(x) or a o and remove the second t?

### calculus

What is the horizontal asymptote of : y=23x/x+18 k so i know that the horizontal asymptote is -18 so that the denominator will equal zero.

### Calculus

What is the horizontal asymptote of : y=23x/x+18 k so i know that the horizontal asymptote is -18 so that the denominator will equal zero.

### Algebra

Suppose that f(x)= (5x) _________ (x^2)−x−6 a. Determine the domain of f b. Determine the vertical asymptote(s), if any, of the graph of f c. Determine the horizontal asymptote(s), if any, of the graph of f d, Sketch the graph of f

### algebra

Can someone check my answers on exploring conic sections? 1. Graph x2 + y2 = 9. What are its lines of symmetry? Every line through the center is a line of symmetry. The y-axis and the x-axis are lines of symmetry.( my choice) Every line through the center is a line of symmetry...

A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is {-1,0,3} and whose range is [3,4,7,9} D.Give an ...

### Math

X is 1 2 3 4 5 Y is 98 96 94 92 90 What is Domain and Range? I know that Domain is all x and Range is all y but how would I put Domain and Range as an inequality

### Math - Graphing Logarithms function

Graph the function below. Determine the domain, range, and vertical asymptote. Please show all of your work. f(x) = log2(x-4)

### Algebra

Another question about domains and range how would I find the range of (3x-4)/(6x-1) ? Without using a graph the domain is x can't be 1/6 What is the range?

### Pre-calculus

Can somebody help me wit this? Find the range and the domain of: f(x)=(1/2)|x-2| The domain is all real numbers (x) from -infinity to infinity The range (of f(x)) is 0 to infinity, since it can never be negative. f(x) has a minimum value of zero when x=2.

### Algebra

Ok I got another one I can figure out The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated.