The graph of the rational function f(x) is shown below. Using the graph, determine which of the following loca behaviors are correct. -5 0. -1- Select all correct answers. Select all that apply: O As x -0o.f(x) 2 O As x - -o.f(x) 2 O As x - -4*.fx) o0 O As x - -1*./x)--00 O As x -1.fo-00 U As x-4./m -0

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

A: Given that: Vertical Asymptote: x=-1; x = 1 X-intercepts: x=4; x=5 Horizontal Asymptote: y = 5 To…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 2 x intercepts…

A: Let rational function  y =k( NxDx) D(x) = 0 gives vertical asymptotes  x = 4 and x= 2 are vertical…

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: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -2…

A:

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

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = – 4 and x = 2.…

A: Given: Vertical asymptotes are at x=-4 and x=2. x-intercepts at -1,0 and 5,0. y-intercept at 0,1…

Q: Where are the vertical asymptotes of a rational function located?

A: Given, Where are the vertical asymptotes of a rational function located

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

A:

Q: Consider the following rational function. f(x) =*+ 1 x+ 9 Step 3 of 3: ldentify four ordered pairs…

A: We will identitfy four ordered pairs on the graph of the function as following.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 1 x intercepts…

A:

Q: Sketch the graphs of the rational functions y = 2x/x + 5

A: given: the function y=2xx+5

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 3 x…

A:

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

A: Given,  (1) Vertical asymptotes at x = 3 and x = -3 Then, (x-3) and (x+3) (2) x intercepts at x = -5…

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

A:

Q: Write an equation for a rational function with: vertical asymptotes at x=1 and x=-5 x intercepts…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 3 x…

A: Given: Vertical asymptotes at x = 4 and x = 3 and x-intercepts at x = -5 and x = -4 and Horizontal…

Q: The graph of a rational function can never cross a vertical asymptote.Determine whether the…

A: It is known that the vertical asymptotes are obtained by solving the denominator. That is, the…

Q: Sketch the graph of the given rational function by determining the followi a. Intercepts b. Vertical…

A:

Q: If you are asked to find the limit of a given rational function f(x), as x approaching a, what are…

A: Concept: The ratio of two polynomials is a rational function. A function is only referred to as a…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = 1 %3D %3D…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 4 x intercepts…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x= -6 x intercepts…

A:

Q: Determine the equation for the graph of the following rational function. 10 LED 201 SENCHESTMENTS…

A: To Determine: The equation of the graph of the following rational function:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = - 3 x…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -3 and x = 5…

A:

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x…

A:

Q: Create a rational function that has the followingcharacteristics: crosses the x-axis at 3; touches…

A: It is given that, A ration function crosses the x-axis at 3, touches the x-axis at - 2; one vertical…

Q: Graph all asymptotes of the rational function. x+7x-3 S(x) = x+3 7+ EX 2- -8 -7 -6 -5 -4 -3 -2 -1…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -5 x intercepts…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 4 x-intercepts…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -5 %3D x…

A: Given:  x=5 and x=-5 are vertical asymptotes      ……1  x=6 and x=2 are x-intercepts…

Q: Find the domain of the rational function. Enter your answer in interval notation. To enter ∞, type…

A:

Q: Determine an equation for a rational function with a horizontal asymptote at y = 2,  vertical…

A: We have to determine an equation for a rational function with a horizontal asymptote at y= 2,…

Q: Find the equation of a rational function that has a vertical asymptote at x = 2 and a horizontal…

A: It is given that, the vertical asymptote of the function is x=2 and the horizontal asymptote of the…

Q: Use the graph of the rational function to complete the following statement. 10- As x → - 3, f(x) →…

A:

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

A: Given, Graph

Q: 8. How do you determine whether a rational function has a horizontal asymptote?

A:

Q: Sketch the graphs of the rational functions y = x2/x2 - 4

A: Given the function y = (x2)/(2x- 4). We need to plot the graph for the above function.

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

A:

Q: Find the limit of each rational function (a) as x→∞x→∞ and (b) as x→−∞x→−∞ f(x)=2x+35x+7

A: Divide both numerator and denominator by x and take limit

Q: Write the equation of a rational function that has vertical asymptotes at x= -3 and x= 6, x…

A:

Q: Write an equation that defines a rational function with a vertical asymptote at x = -2 and a…

A: Horizontal asymptote is where y is zero  Vertical asymptote where denominator is zero

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

A: here vertical asymptotes are x=-6 and x=3 so the denominator is  x+6x-3

Q: If the rational function y = r(x) has the vertical asymptote x = 2, then as x → 2+, either y →…

A:

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

A:

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.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.