(r + 73)(x - 61) For what values of x does the rational function f(x) = -27 (x - 75)(x – 61)(x – 32) have (a) holes (Undefined point)?

Q: V16x2 + 3x + 8 5. Find the horizontal asymptotes of f(x) = 2x - 5

A:

Q: How do you find the asymptotes of f(x) = [(x^3)-(8x^2)+(11x)-(2)] if there are any asymptotes?

A: Given, fx=x3−8x2+11x−2

Q: Consider the rational function y = 7x 12 3x - 2 Which one of the following is true? Select one…

A: Given :Rational function :y=7x-123x-2

Q: 2z+3 Find the poles and their multiplicities of the rational function z²+5z+6,

A: Poles of the rational functions are zeroes of its denominator and their multiplicity is the number…

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: x2 + 1 r(x): Sketch the graph of the rational function x2 - 4.

A:

Q: 4x 10. Find all vertical asymptotes for the rational function f(x) = x²-144 11. Find all of the…

A: We can solve this as follows:

Q: 4-The rational function y=ax?/(bx2+(2b+1)x +b) has one vertical asymptote and passes through point…

A: Solution

Q: 2- -5 -4 -3 -2 -1 16 For the above rational function f( x ) = identify its three inflection points.…

A: The given rational function is: fx=16x3x2+4 To find the inflection points, equate this to zero.…

Q: f(x) = (x2 − 4)/(x2 − 3x + 2)Solve:(a) state the domain of the function, (b) identify all…

A: Given function is fx=x2-4x2-3x+2. (a). Domain of a function is the value of x for which a function…

Q: 10. True or False If the discriminant b? - 4ac = 0, the graph of f(x) = ax + bx + c, a + 0, will…

A:

Q: x³ - 2x? + 4x - 8 x² - 11x + 18 is undefined. Determine whether an asymptote or a hole Determine…

A: We have given function Rx=x3-2x2+4x-8x2-11x+18 Function is undefined where denominator is zero. If,…

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)…

A:

Q: Graph the rational function. 2.x-3 f(x) = -x+3 Start by drawing the vertical and horizontal…

A: For the solution follow the next step.

Q: x² – 25 Find the vertical and horizontal asymptotes of the rational function f(x) x2 + 5x

A:

Q: - 3x – 12x Graph the rational function f (x) = 2 x+5x+4

A:

Q: Consider the rational function f(x)=x−4x2+2x+14  A: write a ratio of monomial expressions that best…

A: The given rational function is,

Q: 3. Write an equation for a rational function with the properties as given. a) a hole at x = 1 b) a…

A:

Q: 5 - x For the rational function f(x) find the points %3D x² + 5x +6 on the graph at the function…

A: Given f(x) = 5-xx2+5x+6 we find thePoints on the graph at the function valuef(x) = 3

Q: How do you graph the rational function f(x)= (2x+3)/(x-1)(x-2)?

A: Given query is to graph the rational function.

Q: -4 -3 -2 M lowest = middle = highest = 2 N H 1 2 For the above rational function f( x ) = 16x 4x² +…

A:

Q: Find the equation of the slant asymptote of the rational function. 273 - 4x2 + 7x – 6 f(z) = 2x2 – 5…

A: Using formula of slant asymptote.

Q: (a) Use the graph to determine any x-intercepts of the graph of the rational function. (x, y) = (…

A: Follow the procedure given below.

Q: x2 – 9x + 18 - Find all the vertical asymptotes of f(x) = x² – x – 6 - -

A:

Q: Graph the rational function. 2x-3 f(x) = ーx+3 Start by drawing the vertical and horizontal…

A: Solution

Q: Find the vertical asymptotes of the rational function. x +9 35) g(x) = x2 +1

A:

Q: b) What is end behavior for a rational function and are the two types of end behavior? What is the…

A: fx=1x

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

A:

Q: f(x), the rational function, presents a line when graphed, why is that? 18-11x+x? f(x) = happened?…

A:

Q: Graph the rational function. 3x-3 f(x) = -x+2 Start by drawing the vertical and horizontal…

A: Let's find.

Q: (b) Find the horizontal and vertical asymptotes of f (x) (2x+1)(x-5) %3D 4x-x²-5

A:

Q: Graph the rational function. 2x +8x+4 f(x) =- x+1 Start by drawing the asymptotes. Then plot two…

A:

Q: Where (for what values of x) does the rational function (x + 28)(x – 92) f(x) 12 x + 97)(x + 16)(x +…

A: Let f(x)=p(x)q(x) be a rational function then if p and q have a common factor (x-a) that…

Q: Find the oblique asymptote of the rational function (-z-20) (z' +5z+6) f (z) = (z+4)(2z²-9z-5)

A: SOLUTION-

Q: snip

A: R(x)=x4+1x2

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

A:

Q: + -3 -2 3 lowest = middle = highest- 2 1 -1 1 3 For the above rational function f(x) = + a 17x 3.5r2…

A: f(x)=17x3.5x2+2 We know, if x=a is the inflection point of f(x) then f''(a)=0

Q: What is the equation for the vertical asymptote of y= 2/x-3

A: Here I am attaching image so that you understand each and every step.

Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DI x² – 4…

A: To find the x and y-intercept of the below function. rx=x2−4x2

Q: Match the rational function with the appropriate description below. x2 - 9 f(x) = x-3

A:

Q: find the end behavior for this rational function:. (3x^2 + 15x - 42) ÷ (x^2 - 25)

A: Let fx=3x2+15x−42x2−25 We have to find the end behavior that is check at ±∞ Now,…

Q: 14. Is f(x) 15 a rational function? Explain. 3z+15 %3D

A:

Q: Find the domain of the rational function.   R(x)= 2+8x         x3-6x2-7x

A: The function is given by R(x) = 2+8xx3-6x2-7x

Q: 4x +3x3 - 4 Find the horizontal asymptote of f(x) 2x3 + x2 y =

A: The given function is f(x)=4x+3x3-42x3+x2-5 rewrite as  f(x)=3x3+4x-42x3+x2-5 here the degree of…

Q: please solve it and show yor work

A:

Q: = 1 f(x)= = 2 Graph the rational function. kt x-4x+4 x-5x -14 -12. -10 = 3 Continue -6 4. 444 Start…

A: The objective is to draw the graph.

Q: State the equations of the vertical and horizontal asymptotes for the rational function. f(x) = -11)…

A:

Q: — бх +7 f(x): — 4х + 10

A: Given:

Q: Where (for what values of x) does the rational function (x – 3)(x + 4) - f(x) = 36 (x + 74)(x – 3)(x…

A:

Q: Graph the rational function. --7x f(x) = %3D x+x-20 Start by drawing the vertical and horizontal…

A: To draw: The vertical and horizontal asymptotes and also the intercepts of the function. Given…

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.