9. True or False The graph of a rational function may intersect a horizontal asymptote.

Q: The graph of a rational function can have three verticalasymptotes.Determine whether the statement…

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Q: Determine the equation of a rational function with vertical asymptotes at x = - horizontal asymptote…

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Q: True or False The graph of a rational function may intersect a vertical asymptote.

A: If the statement " The graph of a rational function may intersect a vertical asymptote"  is true or…

Q: Write down a formula of a rational function with all the following features. 1. The vertical…

A: Topic :- Function

Q: 5. Give an example of a rational function that does not have a horizontal asymptote.

A: The solution is given as

Q: Graph all vertical and horizontal asymptotes of the rational function. -4 f (x) = - 2x+ 7 --- .

A: Given:- f(x) =-4/(-2x+7)  To find:- Graph of all vertical and Horizontal Asymptote

Q: The graph of a rational function cannot have both ahorizontal and an oblique asymptote. Explain why.

A: Query- The graph of a rational function cannot have both a horizontal and an oblique asymptote.…

Q: The process by which we determine limits of rational functions applies equally well to ratios…

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Q: Do I have to factor to identify a rational function’s possible horizontal asymptote?

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Q: If the graph of a rational function R has the verticalasymptote x = 4, the factor x - 4 must be…

A: The rational function  is of the form Rx=PxQ(x) where, P(x) is the numerator function…

Q: True or False The limit of a rational function at 5 equals thevalue of the rational function at 5.

A: We know, The limit of a linear function is equal to the value of the function at that point, And…

Q: True or False: A horizontal asymptote represents excluded values in the range of a rational…

A: A horizontal asymptote represents excluded values in the range of a rational function. To state the…

Q: 3. The graph of a rational function never intersects a asymptote.

A: To Determine: the graph of a rational function never intersects a ? asymptotes. Given: we have a…

Q: True or False The graph of a rational function sometimes has a hole.

A: True or False The graph of a rational function sometimes has a hole.

Q: True or False? The graph of a rational function may cross a horizontal asymptote.

A: Given: The graph of a rational function may cross a horizontal asymptote.

Q: 5. Identify the horizontal asymptote, vertical asymptote, x-intercept, and y-intercept of the…

A: Definitions of the asymptotes, intercepts, domain, and range help to find the required answer to the…

Q: Graph all vertical and horizontal asymptotes of the rational function showing plotted points.

A: Given query is to find horizontal and vertical asymptote of the function.

Q: True or False The graph of every rational function has atleast one asymptote.

A: Given: The graph of every rational function has at least one asymptote.

Q: True or False If the degree of the numerator of a rational function equals the degree of the…

A: Given: If the degree of the numerator of a rational function equals the degree of the denominator,…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 x-intercepts…

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Q: 3) Describe in your own words, how to determine all horizontal and vertical asymptotes for a…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 8. Create a function that has vertical asymptotes x =-2, x=5 and a horizontal asymptote y=D3

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = -1…

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Q: True or False The graph of a rational function sometimes intersects an oblique asymptote.

A: Our Aim is to tell whether the statement "Th graph of a rational functionsometimes intersect an…

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: True or False The graph of a rational function may intersect a horizontal asymptote.

A: The given statement is  The graph of a rational function may intersect a horizontal asymptote.

Q: Can the graph of a rational function have both a horizontal and an oblique asymptote? Explain.

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Q: True or False Every rational function has at least one asymptote.

A: Given statement,  Every rational function has at least one asymptote. To check given statement is…

Q: Under what circumstances does a rational function have a slant asymptote?

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Q: 4. True or False The graph of a rational function sometimes intersects an oblique asymptote.

A: To state true or false.

Q: Graph all vertical and horizontal asymptotes of the rational function. - 5 f(x)= 3x+ 9 -3+ ----

A: Find the vertical and horizontal asymptotes of the function  f(x)= -5/(3x+9)

Q: Graph all vertical and horizontal asymptotes of the rational function. 9. S(x) = |3D x+6 ---- ----

A: The graph is shown below:

Q: Give an example of a rational function that doesn't have a vertical asymptote.

A: It is required to give an example of rational function that doesn't have a vertical asymptote.

Q: Does the graph of every rational function have a vertical asymptote? Explain.

A: Does the graph of every rational function have a vertical asymptote? Explain.

Q: True or False: In a rational function's graph, there may be more than one vertical asymptote.

A: A rational function can have at most one horizontal or oblique asymptote, and many possible vertical…

Q: What happens when the denominator of a rational function is zero at some x-value within the viewing…

A: Let consider the rational number, f(x)=h(x)g(x) Where h(x) is numerator and g(x) is denominator.

Q: Graph all vertical and horizontal asymptotes of the rational function. f(x) = x+4 %3D ---- +2+ 3- 5-…

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Q: sketch the graph of the rational function with the following properties: touches the x axis at 3,…

A: A rational function has following properties,touches the x axis at 3crosses the x axis at -2vertical…

Q: 5. What is the Horizontal Asymptote of the FUNction (4x² +7) (3x3 +8) O No Horizotal Asymptote X =…

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Q: 4. What is the Horizontal Asymptote of the FUNction 1 -8 (x + 6)

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Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal…

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts…

A: We have to find the function

Q: Find the left and right horizontal assymptote of y = 0.3^x + 5^x (note it may not exist)

A: Given equation We have to find left and right horizontal asymptote.

Q: 2х-1 f(x) (х-3)2

A: We have to find vertical asympototes

Q: Develop the equation of a rational function where the following criteria are met. • 3 Vertical…

A: The objective is to develop the equation of a rational function that has three vertical asymptotes,…

Q: 6. Give the equation of the rational function plotted below. 5- -5- LO

A: If the graph of a function intersects the x-axis at x=c, then (x-c) is a factor of the function. If…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -3 x-intercepts…

A: The rational function is of the form y=rx-ax-bx-cx-d.

Q: Explain the circumstances under which the graph of a rational function will have a hole.

A: A hole on a graph looks like a hollow circle.  It represents the fact that the function approaches…