What is the process for determining the horizontal asymptote of a function from its equation?

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

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

Q: Sketch the graph of a function f with a single horizontal asymptote y = 3.

A: The horizontal asymptote of the function is y=3. Since the horizontal asymptote is y=3, therefore…

Q: Which type of function can have a slant asymptote? How do you determine the equation of a slant…

A: If the degree of the numerator is 1 more than the degree of the denominator. Then we can have slant…

Q: Find the formula for a function that has a vertical asymptotes x=4 and x=6 and a horizontal…

A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

Q: What is a horizontal asymptote?

A: Definition of horizontal asymptote:

Q: What does it mean for the graph of a function to have a horizontal asymptote?

A:

Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

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

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Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

A: Asymptote is a line along which the function tends to infinity or minus infinity. Horizontal…

Q: Give an example of function with an oblique asymptote of 2x-1.

A:

Q: find the horizontal asymptotes of the function by computing the limits at infinity.

A: Find the limits at infinity,

Q: What must be done to a function’s equation so that its graph is shrunk horizontally? Explain.

A: Given that a function has to be shrunk horizontally.

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: Explain the concept of an asymptote.

A: To explain: The concept of an asymptote.

Q: How does  a function behave near a particular point at which we cannotdirectly evaluate the…

A: To understand the concept we will consider an example

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: Sketch the graph of a function f that has both y = -1 and y = 5 as horizontal asymptotes.

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

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Q: Use the graph of the function to estimate the interval on which the function is decreasing.

A: A function is said to be increasing when the y value increases as the x value increases.

Q: Write down a function that has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal…

A: Given The function has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal…

Q: 1. Sketch the function Ax) = 3x* - 12x', indicating any extrema, points of inflection, and vertical…

A:

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

A: Given :  The function  y = xx  ,  x>0   To determine :   (a)   Asymptotes of the given function.…

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

A: The relative extrema is obtained when the first derivative of the function y=lnxx equals zero. The…

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: A function can have two different horizontal asymptotes

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

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the…

A: We know that the aluminum sheets are rectangular in shape. The cross sectional area of the gutter is…

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: What conditions must be satisfied by a function if it is to be con-tinuous at an interior point of…

A: A function is continuous at an interior point c of its domain if

Q: The hypotenuse of an isosceles right triangle is to be made into a circle C. Express the area A of C…

A:

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: Find the equation of the slant asymptote for the function f(x)=x^2-x/x-2 y=

A:

Q: Find the vertical asymptotes of f(x)= sec(x)

A:

Q: 7. How is the vertical translation related to the algebraic function? What does it represent in…

A: Transformation of function represents the change of size, orientation, and the position of a shape.…

Q: Plot the graph of f (x) = x/(4 − x) in a viewing rectangle that clearly displays the vertical and…

A: Given, f(x) = x/(4 − x) 1. Vertical asymptote. Since the denominator of the fraction is (4 − x),…

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

A: compute the following limits.

Q: What are the end-behavior asymptotes for the function f (x) = ? 2z+1

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: 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: Identify the horizontal and vertical asymptotes from the graph. y 10 6. 8. 7. 6. 3. -10 -9 -8 -7 -6…

A:

Q: Find all horizontal and vertical asymptotes of given equation

A: Answer and explanation is given below..

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: What is the definition of an even function?

A: Let f(x) be a real valued function of a real variable, then f(x) is said to be even function if…