3x7 + 5x2 - 1 f(x) 6r - 7x + 3

Q: Find the limit of the rational function (a) as x0o and (b) as x- oo. 4x + 7x°-1 f(x) = 6x° - 2x+2…

A:

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function. 15x? g(x) =…

A:

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A:

Q: Identify the rational function whose graph is given below. The y-intercept is (0, –;). 4- 3 2- 1 R…

A: Consider the given graph. The graph of the given rational function touches the x-axis only at x=-1.…

Q: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…

A: Given function is: fx=2x-9x-4 We have to find the domain and range of this function f(x).

Q: Find the vertical and horizontal or oblique asymptotes of each rational function. 2x2 -4 1. f(x) =…

A:

Q: Find the asymptotes of the functionf(x)=2x−3 / x+1.

A:

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: f(x) =…

A:

Q: 4. Determine if the rational function has a hole. If it does, find the coordinates. x + 3x g(x) : х3…

A: Yes, the rational function has hole. The coordinates of hole is (0 ,12 )

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: Divide the numerator and denominator by x3

Q: Find the limit of the following rational function as (a) x→o and (b) x→ - o. 3 2 - 4x° - 4x + 3 h(x)…

A:

Q: Find all asymptotes for each rational function and sketch a graph: 3x2 - 12x + 13 x2 – 2x + 1 x2 a.…

A: Given : Functions a.  fx = 3x2 -12x + 13x2 - 4x + 4 b.  fx = x2 - 2x +1x3 - 3x c.  fx = x2x - 2…

Q: Find the vertical and horizontal asymptotes, if any, of the rational function R(x) = 6x2 + x +…

A:

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: Take x common from numerator and denominator and cancel the same.

Q: State the vertical asymptotes of f(x) O x = 6, x = 2 x = -6, x = 2 x = -6, x = -2 x = 6, x=-2 = 1 x²…

A: For the given function f(x)=1x2-4x-12 vertical asymptotes are x=-2 and x=6 Hence option (D) is…

Q: Find the horizontal asymptote, if there is one, of the graph of each rational function:a. f(x)…

A: a) The degree of the numerator is 2. The degree of the denominator is 2. Here, the degree of the…

Q: Find the horizontal and vertical asymptotes of the ration function f(x) x³+x² –2 4x3 –7x+3

A:

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: f(x) =…

A: Consider the rule, for finding the horizontal asymptote of any given rational function. For any…

Q: Find the asymptotes of the functions: 4x2 1- f(x) = x² +8 x2-6x+7 2- f(x) x+5

A:

Q: Find the horizontal and vertical asymptotes of the ration function f(x) = x³+x² –2 4x3 –7x+3 ||

A:

Q: Write the function in general form for the rational function that has no zeros, a hole at x= -3, a…

A:

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

A:

Q: Find the asymptotes of the functionf(x)=3√x3−x2.

A:

Q: . Graph the rational function f(x)

A: Given,        f(x)=x2-x-2x2+x-2

Q: . For each rational function, find the following: (2x+5)(x-3) g(x)3= (x-3)(4x+2) (x+3) (x+5)(x-2)…

A: Note: We are authorized to answer three sub-parts at a time. Since you have asked more than three…

Q: State the vertical asymptotes of f | x2 –4x–12° Ox= -6, x = 2 O x = -6, x = -2 Ox = 6, x = 2 ) x =…

A: Given that the function fx=1x2-4x-12. We have to find its vertical asymptotes. Vertical asymptote:…

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

A:

Q: Find the vertical asymptotes of the rational function. g(x) = 5x x +6 x = -6 x = 5 x = 6 none

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. -2 f (x) = 3x+9 3- 2- -2- -3-…

A: Topic:- function

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A:

Q: Find the asymptotes of the functions: 4x2 1- f(x) = x² +8

A: As per our guidelines we need to solve only one question.Please repost the other remaining question…

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: f(x) = (-2x +…

A: Since the given function is f(x) = (-2x + 1)/(3x + 5) Here numerator= (-2x + 1), and denominator=…

Q: Find the asymptotes of the functionf(x)=x2−2x−3 / x.

A:

Q: The graph of a rational function, f(x), has a point of discontinuity when x = 2 and an asymptote…

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. 3x+9x-12 f(x) = -x²- 3x-2 %3D

A: For vertical asymptote, we need to solve the denominator for x by equating it to zero.   Given;…

Q: Find the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where…

A: Given, f(x)=5x+87x+7

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A:

Q: Find the vertical asymptotes of the rational function. f(x)= x-5/25x-x^3 a. x=0,x=5 b. x=−5,x=5…

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. 4x-11 2x+9

A:

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: a).

Q: Sketch the graphs of the rational functions y = x4 - 1/x2

A: Given:         y=x4−1x2

Q: Find the horizontal asymptote of f(x)= - 2x - 4x^3 - 1 / - 5x^3 + x^2 + 3

A:

Q: Sketch the graphs of the rational functions y = x3 + 2/2x

A: we have to sketch of the rational function y=x3+22x

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where…

A: a).

Q: Sketch the graphs of the rational functions y = x2 - 4/x2 - 3

A:

Q: Find the horizontal asymptote, if there is one,of the graph of the rational function f(x) =[15x/(3x2…

A: Given that: The rational function is f(x) = 15x3x2+1 .

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

A:

Q: Graph all asymptotes of the rational function. -x + 6x+1 f (x) = %3D x-2 6-

A: Given that fx=-x2+6x+1x-2 Solution :Horizontal asymptotesif degree of numerator is greater then…

Q: Find the horizontal asymptote, if there is one, of the graph of the rational function: a. f(x) =…

A: a) The function is given by fx=9x23x2+1 The objective is to find the horizontal asymptote.

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.