f (x) = 2+x-2 1 -1

Q: find thie table of values of this rational equation f (x) 2x + 1/x-3

A: Topic = Function  table of values for three values of x

Q: Find the domain of the rational function. x + 2 x2 - 36 33) f(x) =

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Q: x-intercept  (x,y)=           (smaller x-value)

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Q: -5 -4 -3 -2 -1 2 3 4 5 -1 -3 17x the above rational function f( x ) = identify its three infle 1.5x2…

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)…

A: Consider the given rational function

Q: The following question is about the rational function r(x) =  (x + 1)(x − 3) (x + 3)(x − 7)…

A: Given rational function is:

Q: 10x For the above rational function f( x ) identify its three inflection points. 2.5x2 + 2 lowest =…

A: Given function f(x)=10x2.5x2+2 ⇒f(x)=10x52x2+2⇒f(x)=20x5x2+4 Differentiating,…

Q: 31 2 -4 -3 -2 -1 2 3 17x For the above rational function f( x ) = identify its three inflection…

A: in the question it is asked to calculate the inflection points for the rational function f(x) =…

Q: What is the domain of the rational function f(x) = 1/x

A: Given function is  :  f(x) = 1x First we graph the function.

Q: f(x) = -1 O -5 -1/5

A: Given that  f(x)=1/(5x)  To Find the vertical asymptote of the given rational function

Q: Find the x- and y-intercepts of the rational function.

A: Given rational function is, r(x)=x-1x+4.

Q: The x-intercept of the rational function r(x) = 2x+6 is x-5 a) (5,0) b) (-5,0) c) (3,0) d) (-3,0) e)…

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Q: Find the domain of the given rational function. 3x f(x)=D] 11x+ 18 Domain of f= (Type your answer in…

A: To find the domain of the following function  f(x) = 3x/(x2 - 11x + 18)

Q: 31 Find the x-intercept of the given rational function.

A:

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: Find the domain of the given rational function. f(x)=  x-4/(x-1)(x+3)

A: Consider the given function,f(x) = (x-4)/(x-1)(x+3)The domain of a function f(x) is the set of all…

Q: -3 -2 -1 3 12 For the above rational function f( x ) = 2x2 identify the interval on which f is…

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Q: 15. Graph the rational function )- T- a.

A: Check asymptote, intercept,extrema then make graph

Q: 4. Find the x-intercepts of the rational function y = 2² -r-2 p³ – 3x²+2° O x = -2, 1. O x = 2, –1.…

A: Given that:                      7. f(x)=x-1x+18. g(x)=2x+13x+19. f(x)=2x2+x-12x+3       NOTE: As…

Q: The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The…

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Q: Find the domain of the rational function. x + 6 h(x) = x2 - 4x

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Q: 9. The graph of which of the following rational functions has a hole? 2х - 6 y = 2х - 6 2х - 3 2х —…

A: As this is a multiple question, according to the Bartleby answering rule, only first question is to…

Q: 9. The graph of which of the following rational functions has a hole? 2х - 6 y = x- 6 2х- 3 y = x-3…

A: Since, this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x – 4) r(x) The…

A: We get the vertical asymptotes when the denominator of the function is zero.

Q: 3 Q 11 -3 -2 -1 1 2 For the above rational function f( x ) = identify the interval on which f is…

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Q: B. Find the x and y- intercepts of the given rational functions 1. f(x) = 3x+6/x 2. f(x) = x²-9/9 3.…

A: We are given with the multiple number of question and our guideline is solve first question only…

Q: Find the y-intercept of the given rational function.

A: For y-intercept, put x=0 into the expression f(x)=x-1x2+x-2 and solve: f(0)=0-102+0-2      =-1-2…

Q: 4 -3 -2 -1 1 2 3 Q 19 For the above rational function f( x ) = identify the interval on which f is…

A: The given function is:…

Q: 20x For the above rational function f( x ) = identify its three inflection points. 2x2 + 1 lowest =…

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Q: Find a possible equation for the rational function given

A: as we can see from the graph, here vertical asymptotes are x=-1 and x=2  so the denominator is given…

Q: Find the domain of the rational function. x-2 f (x) = r+4 Enter your answer in interval notation.

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE x – 1…

A: The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the…

Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) x2…

A: We will proceed as follows

Q: The following question is about the rational function (x + 1)(x – 3) (x + 3)(x – 8) r(x) = . The…

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Q: ах + b State the equation of a rational function in the form of f(x)= if the vertical asymptote is…

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Q: 4. Using y = as the reference, what is the equation of the rational function represented by the…

A: Topic = Functions 4) C 5) b 6) c

Q: Find the domain of the rational function: h(x) = (x + 5)/(x2 + 25)

A: h(x)=x+5x2+25

Q: 3- 2 -4 -3 -2 -1 2 3 4 -3+ 13x For the above rational function f( x ) = identify its three…

A: Given query is to find the inflection points.

Q: Find the domain of this rational function. 5x R(x) = The domain of R(x) is all real numbers except…

A: The Denominator value can't be zero.

Q: For what interval(s) is the graph of the rational function negative? +4 - 0 4 a) x > 1 ) b) x 1 c)…

A: Here we have to find the interval in which the grah of the rational function negative.

Q: For what interval(s) is the graph of the rational function negative? 8- a) x e R,x+ -4 b) x 1 c)…

A: From given graph it is clear that

Q: -2x+6 Graph the rational function h (x) = x-4x+3

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Q: 8) Use the rational function, h, given below to complete a) - d). x-3 (x-3) h(x) = !3! x2 - 2x-8 (x+…

A: The given function is: h(x)=x-3x2-2x-8=x-3(x+2)(x-4)

Q: Find the equation and sketch the graph of the function. A rational function tha: passes through 0..…

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Q: II. Find the domain and range of the following rational function 2 1. f(x)%3= x+1

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Over what interval is the graph of the rational function positive but decreasing? y 4 2 -4 0 2

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) 3x…

A: x-intercept is the point on the graph where the curve meets the x-axis. That is, the point where y =…

Q: 9. State the equation of a rational function that has all of the following: Holes at x -5, x 1…

A: NOTE: Refresh your page if you can't see any equations. . here vertical asymptote is x=3 so the…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.