Given the two functions, explain how the characteristics (Zeros, Vertical Asymptotes, Horizontal Asymptotes, and Holes of the graph) can be predicted using the algebraic form. You should write at least one separate sentence for each characteristic. If your graph/function did not have that characteristic, explain why.

Q: A function can have at most two horizontal а. asymptotes.

A: Given query is to find statement is true or  false.

Q: Find all the asymptotes of the following function. Justify your reasoning by calculating all…

A:

Q: What type of functions are used with asymptotes

A: Explanation: There are three types of asymptotes that tells differently about function. vertical…

Q: Use a graphing utility to verify your results. y 2) 1. Subrt Amsant

A:

Q: Define Vertical Asymptotes?

A: Vertical asymptotes

Q: Please show step by step how to work out all asymptotes for f(x)=3^x-1

A: Vertical asymptote:The points at which the denominator is 0 or does not exist is the vertical…

Q: Define the term Horizontal Asymptotes?

A: An asymptote is a straight line that constantly approaches a given curve but does not meet at any…

Q: (1-х) (х— 2)(х-3) (x – 1)(x + 2) (x + 3) |

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

Q: Suppose a friend tells you that the graph of f(x) = x^2-4/x-2 has a vertical asymptote with equation…

A: I have given an answer in step 2.

Q: 3x* — 7х +9 g(x) =: x' +6x – 7x

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Can the graph of y − f(x) intersect a horizontal  asymptote? If so, how many times? Illustrate by…

A: Yes, a function can intersect its horizontal asymptote. Given any integerk≥0 one can find graphs…

Q: what is the graph of the following function (2x+1)(x+2)/(x-1)(x-3)?  where are it's vertical and…

A: The objective is to draw the graph and find vertical and horizontal assymptote.

Q: I am having trouble finding the right points to graph this function

A: The given function is,

Q: Find the vertical asymptote of the graph of f(x) Describe the behavior of f(x) to the left and right…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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

A: We have to explain how to determine the vertical asymptote and hole of the given function.

Q: find all the vertical asymptotes (if any) of the graph of these function f(x)= x2-9 / x3+3x2-x-3…

A:

Q: Determine any asymptotes for the following function, 1 f(x) = x2 – 2x – 3 - - You must give an…

A: The function is f(x)=1x2-2x-3 If the degree of numerator is less than the degree of denominator then…

Q: Can the graph of a function cross a horizontal asymptote? Explain.

A:

Q: write down a function with a horizontal asymptote and and reaches the value of that asymptote…

A: f(x)=cosx/x+1 is the required function.

Q: 64. Explain why a vertical asymptote is only a guide and is not part of the graph of a function.

A: An asymptote of a curve is a line such that the distance between the curve and line approaches zero…

Q: A function can have two different horizontal asymptotes

A: The given statement is TRUE.A function has two different horizontal asymptotes when…

Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: And show the asymptotes too.

A: Answer

Q: Construct the graph of the following function Y = 1 / x + 3 indicating its asymptotes with color

A:

Q: What are the Horizontal Asymptotes?

A: A horizontal straight line to which the graph of a function approaches as x tends to +infinity or…

Q: Graph the following. Be sure to clearly label any asymptotes and x- and y-intercepts. y=e×+3

A:

Q: Are there vertical and horizontal asymptotes? If so, what are the values?

A:

Q: x +3 2.

A: Please refer the attached image for complete solution.

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

A:

Q: 4- 2- -6 -4 -2 -2-

A: We have to find the end behavior

Q: Define the Oblique Asymptotes?

A: To define oblique asymptotes.

Q: From the given graph, determine its asymptotes and intercepts.

A: Given a graph of a function. To determine the asymptotes and intercepts. Asymptotes: At x=2, the…

Q: Define the term asymptotes?

A: An asymptote to the curve can be considered as a line to which that curve converges.

Q: 3 1 -4 -2 4 -1 -2 2. 3.

A:

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

A: Explanation of the answer is as follows

Q: x²(x – 2) x2 – 4 | - 4

A:

Q: Graph the following functions as well as their horizontal asymptotes, vertical asymptotes, and…

A: We have to sketch the curve and find asymptotes.

Q: y = + x2 (х — 2)2

A: Given

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: What are the Vertical Asymptotes?

A: Vertical Asymptotes are the vertical lines that represents the zeros of the denominator of a…

Q: horizontial

A: To find horizontal asymptotes:   If the degree (the largest exponent) of the denominator is bigger…

Q: 2х 3. x² – 9

A: Vertical asymptote :  The line x = L  is a vertical asymptote of the function ,  If the limit of the…

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: