Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) r(x) =  −2x2 − 8x − 9 x2 + 4x + 4

Q: Describe the (1) zeros, (2) y-intercept, and (3) asymptotes of y = (x + 1)² – 3. 1) 2) 3)

A: The given function y=x+12-3

Q: find the equations for the asymptotes. y2 - 8y - x2 - 4x + 3 = 0

A: y2-8y-x2-4x+3=0 On simplification, we get…

Q: 2x + 5x³ 1 | Find the horizontal asymptote of f(x) = 3x3 + x? | y = Question Help: D Video Submit…

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Q: find the equations for the asymptotes. x2 + 4x - y2 - 6y - 30 = 0

A: x2+4x-y2-6y-30=0 On simplification, we get…

Q: x3+x²-4 リ= 9x 2+3

A: The asymptote to a curve is the line that has the distance between the line and the curve reaching 0…

Q: x3+x²-4 9х2 +3

A: The intercept is when drawing a graph of equations an intercept is a point where the equation line…

Q: 5x3-8 siven y = solve for the slant asymptot x2+3x-1'

A: y=5x3-8x2+3x-1To find the slant asymptotes

Q: Find the horizontal asymptotes.

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Q: 3x+24 Find the intercepts and asymptotes of the rational function r(x)= -2x+4

A: The given rational function is                               rx=3x+24-2x+4 x-intercept is the value…

Q: Find domain, range, intercepts, symmetry, and asymptotes X-4 %3D | y = f(x) = x+3

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Q: 15) For the function: g(x) = 3x² -33x+72 A) Convert to standard (vertex) form. B) Identify the…

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Q: 2. f(x) = -2x(x + 6)(x – 4)³(x – 2)* a. How does the graph behave with relation to the x-axis at x =…

A: Result: Consider the polynomial p(x)=ax-a1n1x-a2n2⋯x-aknk. The real numbers a1, a2, ⋯, ak are the…

Q: For Exercise, identify the asymptotes. 9x – 5x + 4 a(x) 3x + 2x + 1

A: The given function is Horizontal asymptotes: These are the horizontal lines where graph of function…

Q: P(x) = (1 − 3x)/(1 − x)Solve:(a) state the domain of the function, (b) identify all intercepts, (c)…

A: Hello. Your question has more than one sub-parts, so we will solve first three sub-parts for you. If…

Q: Q4:- Find the domain, range, intercepts, symmetry, and asymptotes y = f(x) = Vx2 – 5x + 6 %3D

A: The domain of a function is defined as the set of values for which the function is defined.

Q: 9x3+3x²-12x Solve for the vertical asymptote/s of f(x) = 9x3+30x²+24x

A: To find vertical asymptote we will put the coefficient of y equal to zero.

Q: 14) For the function: g(x) = 3x2 -30x+78 %3D A) Convert to standard (vertex) form. gox) = 3( x"-1ox…

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Q: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

Q: Find the value of the vertical asymptote 2x²-3x+5 O-3 O-9 0 3 09

A: Consider  2x2-3x+5x-9

Q: The equations for the asymptotes of y2/196-x2=1 are

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Q: For the quadratic function f(x)=3x2-12x+4 (a) Determine whether the graph opens up or down. (b)…

A: Given quadratic function is fx=3x2-12x+4. (a). Let quadratic equation is ax2+bx+c=0 then: If a<0,…

Q: Find the asymptotes and the intercepts a)(x-2)/(x2-4x+4) b)(x2-2x+1)/(x3-3x2)

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Q: Find the equation for the horizontal asymptote of the graph of the function. 2x2 - 3x - 7 f(x) = %3D…

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Q: find the equations for the asymptotes. 9x2 - 18x - 4y2 - 24y - 63 = 0

A: Given: 9x2-18x-4y2- 24y-63=0 To find the asymptote of the given equation, We can write the given…

Q: find the equations for the asymptotes. 4x2 + 24x - y2 + 4y + 28 = 0

A: Given:  4x2 + 24x - y2 + 4y + 28 = 0. To find: the equations for the asymptotes.

Q: Find the real zeros of g(x) = 4x4 - 37x2 + 9. What are thex-intercepts of the graph of g?

A: We have; g(x)=4x4-37x2+9

Q: For Exercise, identify the asymptotes. 3x + 2 8(x) =

A: Consider the given function (a) Horizontal asymptotes: horizontal asymptotes are horizontal lines…

Q: Find the x- and y-intercepts of the graph of 3x - 3y = 21. State each answer as an integer or an…

A: Our Aim is to find the x- and y-intercepts of the graph of 3x-3y=21.

Q: -5x +5x3 2 Find the horizontal asymptote of f(x) 4x3 4x2 + 1 - y = Check Answer

A: To find : The horizontal asymptotes of the function ,  f(x)=5x3-5x-24x3-4x2+1

Q: 3x – 4 Find the asymptotes (if any) and express them as linear equations: g(x) = x+2

A: use the definition of horizontal and vertical asymptote.

Q: Let (h, k) be the coordinates of the vertex of a parabola. Then h equals the average of the two real…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The south side of a bridge forms a parabolic arch. The arch is 8m wide and it’s center is 6m above…

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Q: 2.) x - 7x -18x 10

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Q: find the intercepts and the equations for the asymptotes. x2 - 9y2 = 16

A: The given equation: x2 - 9y2 = 16 It can be written as x216-9y216=1 or x2(4)2-y2432=1 ...(i) which…

Q: a) Find the discriminant of y = 14x2 - 13x +7. %3D b) How many roots does the graph of y = 7x2 – 23x…

A: Given that, There are two equation following, (a). y = 14x2 - 13x + 7 (b). y = 7x2 - 23x + 4 In…

Q: Find the factors that are common in the numerator and the denominator. Then find the intercepts and…

A: The Solution is given in next steps

Q: Find the vertical and horizontal asymptotes. (If an answer does not exist, enter DNE. Enter your…

A: Given, y=f(x)= (x²-7)/(2x²-18)

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the ration…

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Q: The quadratic function f is given: f(x)=2x^2+4x-3 (a) Find the coordinates of the vertex and the x-…

A: (a) The quadratic equation is

Q: Find all the asymptotes of y -8xy +15x +13x – 3y+ 2=0.

A: Given equation is  y2-8xy+15x2+13x-3y+2=0

Q: Find the real zeros of g(x) = 4x4 - 37x2 + 9. What are the x-intercepts of the graph of g?

A: To find the real zeros of g(x)

Q: x2-4 2x2-5x-12 x2-16 %3D %3D (x)f (x)f

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Q: Find the asymptotes 4x^2 - 5y^2 + 32x +30y =1

A: The given equation is 4x2-5y2+32x+30y=1

Q: In the equation 6x2 -7x-3/2x2-7x+6 Determine the point at which the graph of R intersects the…

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Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that…

A: h(x)=x-2x2+2x-8The function will be discontinuous at point where denominator is zeroconsider…

Q: find the intercepts and the equations for the asymptotes. y2 - x2 = 16

A: y2-x2=16 To find x-intercepts, put y=0, we get ⇒02-x2=16⇒x2=-16 Which is not possible. Therefore…

Q: what is the equation of the asymptote of y=In(2x-2)-1

A: As we know,  y=lnx has vertical asymptote x=0.   Similarly,  y=In(2x-2)-1 has vertical asymptote…

Q: Given g(x) 6- 48-2-, determine exact values for the intercepts and asymptote.

A: Given funtion g(x) - g(x) = 6-48.2x-7Part (a) - x-intercept, is a point on x-axis where value of…

Q: 2. For the quadratic function y = -6x² + (K + 4)x+9, find the following: The Axis of Symmetry of the…

A: Introduction: Standard form refers to the quadratic function f(x) = a(x - h)2 + k, where an is not…