find the horizontal asymptote, if any, of the graph of the ratinal function  g(x)= 12x^2/3x^2+2 select the correct choice below and if necessary fill in the answer box to complete your choice  a. the horizontal asymtote is __ b. there is no horizontal asymtote

Q: Determine whether the graph of the function has a vertical asymptote or a removable discontinuity at…

A: We first factor the numerator

Q: Create a rational function with a graph and equation. Make 2 different examples for each graph.…

A:

Q: Use a graphing utility to graph the function and identify any horizontal asymptotes.

A: The given function is fx=xx2+6. Sketch the graph of function as shown below.

Q: Create a function whose graph has the given characteristics. (There is more than one correct…

A: Given that  Vertical asymptote:  x = 3 and Horizontal asymptote:  y = 0 Since Vertical asymptote:  x…

Q: Using a graphing calculator or computer algebra system. Plot f (x) = (8 x + 1) /(8x-4) in an…

A:

Q: ) For the function f(x) find the domain, x- & y- intercepts, symmetry, x2 asymptotes, local…

A:

Q: Create a function whose graph has the given characteristics. (There is more than one correct…

A: Given that Vertical asymptote:  x = 2   So (x-2) is a factor of the denominator   Slant asymptote: y…

Q: Determine whether the graph of the function has a vertical asymptote or a removable discontinuity at…

A: Given  The function is  f(x)=x2-1x+1.

Q: Use a graphing utility to graph the function and identify any horizontal asymptote.

A: To plot the graph of f(x)=3xx2+2, use the Desmos graphing calculator.

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A:

Q: りg- ltn'

A:

Q: Use a graphing utility to graph the function and identify any horizontal asymptotes.

A: Given, the function                              Using the graphing utility to graph the function…

Q: 9.) Find all horizontal and vertical asymptotes of f(x) = 4x 5 - x² - 9

A: The given function is f(x)=4x-5x2-9 First we factorize the numerator and the denominator.…

Q: There are three rules for finding horizontal asymptotes for a rational function. State eash rule and…

A:

Q: Create a function whose graph has the given characteristics. (There is more than one correct…

A: Given: Vertical Asymptote x=2 and Slant asymptote is y=-x Now to identify the given function with…

Q: Use a graphing utility to graph the function and identify any horizontal asymptotes. f(x) = x/√(x2 +…

A:

Q: Determine the horizontal and vertical asymptotes of the function x2 - 3 X – 9

A:

Q: Create a function whose graph has the given characteristics. (There is more than one correct…

A: If vertical asymptote is x=3 then the denominator will have factor (x-3) Slant asymptote is y=3x+2…

Q: Find all horizontal and vertical asymptotes. s(x) = 16x2 + 1/4x2 + 10x − 14

A: To find the vertical asymptotes, we determine where this function will be undefined by setting the…

Q: Find the slant asymptotes and the vertical asymptotes, and sketch a graph of the function.

A: r(x)=x2x-2

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The function is y=lnxx. The vertical asymptote occurs at the points where the function becomes…

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: Given: f(x)=6x2/x+9

Q: x2 х — 6 - 1. f(x) : x2 – 4

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: What is the Oblique Asymptote of the function?

A: To find the oblique asymptote for f(x)=axm+...bxn+..., m>n we have to take division of…

Q: Draw the graph of the function in a suitable viewing rectangle, and use it to find the domain, the…

A: y=ln xx

Q: Find all vertical asymptotes of the given function (verify by graphing). _X + 11 17) f(x) = x2 + 4x…

A:

Q: ax2+6 Determine the possible values of a and b such that the graph of the function f (x) - will have…

A:

Q: find all vertical and horizontal asymptotes algerbraically, f(x)=3x^2-x+5/x^2-4

A: . Find all vertical and horizontal asymptotes algebraically, f(x)=3x^2-x+5/x^2-4For calculating the…

Q: Find any vertical or horizontal asymptotes for the following function. Label which answers are…

A:

Q: Create a function whose graph has the given characteristics. (There is more than one correct…

A:

Q: Sketch a graph of the function : f(x) = ( x - 1) / ( x^2 -5x + 4 ) , showing all asymptotes,…

A: In this question we will use basic of calculus i.e concept of sketching of graph. We will simply…

Q: Find all asymptotes of the given function (verify by graphing). 2x3 - 54 x2 - 9 2) f(x) =

A:

Q: Determine all Horizontal Asymptotes. x²-2x+1 x³+x-7 50. f(x)=. 51. f

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: From the graph, determine the x- and y-intercepts and the verti x-intercept (x, y) - y-intercept (x,…

A:

Q: Find the domain,range, horizontal asymptote, vertical asymptote and x-intercept of the following…

A: The function f(x)=x3-1x2. We have to find the domain, range, horizontal asymptote, vertical…

Q: Determine the horizontal Asymptotes of the graph of the function. *F(x) =______3x2 + 5/4x2  -  3…

A: To find the horizontal asymptote we need to find the limit x approaches ∞ and -∞   Answer(a):…

Q: Identify any horizontal asymptotes for the function   y=120-17x. If the function has no horizontal…

A: compute the following limits.

Q: Identify any horizontal asymptotes for the function   y=160-17x. If the function has no horizontal…

A: A horizontal asymptote of a function is a horizontal line which the graph of the function approaches…

Q: Use a graphing utility to graph the function and identify any horizontal asymptotes.

A: Given,   f(x)=|3x+2|x-2 Enter the equation in the y = ___  function of the calculator. Set the…

Q: Sketch the graph of the function. Indicate the asymptotes, local extrema, and the points of…

A: Explanation of the answer is as follows

Q: Sketch the graph of the following functions. Label all asymptotes, intercepts, local maximum points,…

A: we have,  y=xx+23 Vertical asymptotes : we know that the line x=L is a vertical asymptotes of…

Q: How can you determine from the equation of a function if it has a vertical asymptote or a hole…

A: First of all we rearrange the given equation of function as rational function. Then factor the…

Q: find the vertical asymptotes, horizontal asymptotes, slant asymptote,  x-intercept(s), y-intercept,…

A:

Q: Find all horizontal and vertical asymptotes of the function. Label which is which. x³ + 6.x² + 11x +…

A: Given: f(x)=x3+6x2+11x+6x3−x2−12x

Q: A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in. by…

A:

Q: (b) Sketch the graph of f(x), label local maximum and minimum points and asymptotes, if any?

A:

Q: Find the x and y intercepts ,the domain,the vertical and horizontal asymptotes and then sketch the…

A: To find the x-intercepts we plug y=0 and solve for x So, x-intercept is = (-1,0) For y-intercept,…

Q: Find the horizontal asymptotes of and vertical the function.

A: The given function is: y=x4-3x2-10x2-10x+26 To find the Horizontal asymptote, just equate the…

Q: Sketch the graph of the function f(x)= 3x-5 x axes and the asymptotes (if any). State its domain.…

A: