Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function. h(x) = x(x- 7) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an equation. Use commas to sepa OA. There are no vertical asymptotes but there is(are) hole(s) corresponding to O B. The vertical asymptote(s) is(are) c. The vertical asymptote(s) is(are) and hole(s) corresponding to | . There are no holes. O D. There are no discontinuities.

Q: f(x) = (x2 − x − 2)/(x3 − 2x2 − 5x + 6)Solve:(a) state the domain of the function, (b) identify all…

A: (a) Consider the given function as fx=x2-x-2x3-2x2-5x+6

Q: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Given: The rational function r(x)=2x2+2x-4x2+x

Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant…

A: Given

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: Find the intercepts and asymptotes, and then sketch a graph of the rational function and state the…

A: Consider the given function. rx=x2+2x+32x2+4x+2 To, find the x-intercepts, put y=0 in the function.…

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 17x h(x) = 3 5x +6…

A:

Q: Graph the rational function. Show clearly all x- and y-intercepts and asymptotes, and state the…

A: r(x)=1(x+2)2

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 28x? g(x) = 7x2 +4…

A: We have to find the horizontal asymptote.

Q: Graph the rational functions in Exercise. Include the graphsand equations of the asymptotes.

A: Given: Graph the rational functions in Exercise. Include the graphs and equations of the…

Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant…

A: hx=x2-3x-4x2-x-6 Vertical asymptotes are the values of x for which denominator is zero. That is,…

Q: BỊ Graph the given rational function by finding any symmetry, intercepts, asymptotes, and any…

A:

Q: BỊ Graph the given rational function by tinding any symmetry, intercepts, asymptotes, and any…

A: Given a function r(x)=2x2x2+4x-12 Let r(x)=y=2x2x2+4x-12 To find symmetry, intercepts, asymptotes of…

Q: Find the horizontal asymptote, -7x+4 f(x) = %3D 5x +2

A: Please refer the attached image for complete solution.

Q: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x3 + 1/x2

A: Given, The graph of the rational function y =x3+1x2

Q: -x+4x+3 f(x) = x-3

A: To graph the given rational function.

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

A: solution is

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8…

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: M. Graph the rational function. *+6x+9 f(x)= = 2+7 Start by drawing the vertical and horizontal…

A: We will find asymptotes points and also use derivative of function to find graph

Q: Graph the rational functions. Include the graphs and equations of the asymptotes and dominant terms.…

A: Given function is y=12x+4 vertical asymptote is obtained by setting denominator equal to zero. So…

Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant…

A: Asymptotes: Vertical asymptote: As x approach some constant value c the the curve goes towards the…

Q: Find an equation of a rational function having the given asymptotes, intercepts, and graph. The…

A: Given

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

A: Let's find.

Q: find the intercepts and asymptotes of the rational function then sketch the graph of…

A:

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

A:

Q: Graph the rational function. Lable all y-intercepts, x-intercepts, vertical asymptotes, and…

A: The given rational function,y=(x+4)(x-2)(x+3)(x+1)

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

A: We have to find vertical and horizontal asymptotes.

Q: Graph the rational function, f(x) *3* Determine the intercepts, asymptotes, and behavior near the…

A: Asymtotes of the rational function

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x h(x) = 3x? +8…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Graph the rational function. -4x-18x-12 f(x)= 6x+9 Start by drawing the asymptotes. Then plot two…

A:

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 14x h(x)%D 4x2 +9…

A: The given function is hx=14x34x2+9.

Q: Graph the rational function. Lable all y-intercepts, x-intercepts, vertical asymptotes, and…

A:

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

A:

Q: Find the horizontal asymptote, if it exists, of the rational function below. If the function does…

A:

Q: s) Graph the rational function by (a) finding the domain, (b) iden- tifying all asymptotes, (c)…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 21x2 g(x) = 7x2 +4…

A: Find horizontal asymptote

Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant…

A: Given: The function h(x)=x2-3x-4x2-x-6 To find: vertical asymptotes, horizontal asymptote, slant…

Q: Graph the rational functions Include the graphs andequations of the asymptotes and dominant terms. y…

A: Given information: The rational function is y=2xx+1. Graph: Find the asymptote of the function. The…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

A: we have to find the vertical asymptotes given rational function r(x)= x/(x2 + 4)

Q: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x2 - 4/x - 1

A: y=x2-4x-1 Now vertical asymptotes are the values of x for which denominator is zero. That is,…

Q: Graph the rational function. Lable all y-intercepts, x-intercepts, vertical asymptotes, and…

A: Here, the given rational function is: y=-2(x+5)(x-1)(x+1)2...(1)

Q: Write the equations of the horizontal and vertical asymptotes, and find any holes in the graph, of…

A:

Q: Graph the rational functions. Include the graphsand equations of the asymptotes. y = x2 - 1/2x + 4

A: Consider the rational function y=x2-12x+4. Write the function in the form of pxq(x), here px and qx…

Q: Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant…

A: Given: y=x2x+1 To find: The vertical asymptotes, if any the horizontal asymptote, if one exists and…

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 14x3 h(x) = 6x2 + 5…

A: If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.…

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

A:

Q: Graph the rational function. 4x-6 S) - x+2 Start by drawing the vertical and horizontal asymptotes.…

A: Consider the  given function as fx=4x-6-x+2

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 16x 5x2 +6 Select the…

A:

Q: Graph the rational function. f(x)=−4x^2−12x − 6/ 6x + 9   Start by drawing the asymptotes. Then…

A: We draw the graph of rational function.