1. Write an equation of a rational function that satisfies ALL of the given the given conditions described below > has no vertical asymptotes, > horizontal asymptote at y = 5, a hole at X = 3, - x-intercepts at origin.

Q: .Let f(x)= (200x-500) /(x+400) Find horizontal and vertical asymptotes, and zeros and sketch the…

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Q: 5. Give an example of a rational function that does not have a horizontal asymptote.

A: The solution is given as

Q: Consider a function with the following properties: o Horizontal Asymptote: y = 0 o Vertical…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: 10. A rational function has a slant asymptote when

A: We need to tell when will a rational function have a slant asymptote.

Q: Find the vertical asymptotes of the rational function. 12) F(x)=- x2-16 x2 + 5x+4 A)x= -1, x=-4 B)…

A: Given           F(x)=x2-16x2+5x+4 Now, Factorize the numerator and denominator…

Q: Create a rational function that has a vertical asymptote at x=2, a horizontal asymptote at y=-3 and…

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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: Part 1: Given a rational function, graph it and identify ALL key characteristics. 1. y = 2. у‑ 3x-6…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Q1) Graph the following rational function, labeling clearly all intercepts and asymptotes. R(x) = x…

A: We will find intercept and asymptote and will use them to plot graph

Q: Consider the graph of the function h(x)=2x-1 over x+2 what is the equation of the horizontal…

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Q: 2) Give an example of an equation of a rational function Q satisfying all of the conditions:…

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Q: 6. Write a rational function which has the following information: Vertical asymptotes are x=5 and x=…

A: Please see the below picture for detailed solution.

Q: the graph of f(x) is a parabola with vertex (3,-5) - if the parabola opens upward (i .e. a >0) how…

A: Mentioned below is the answer

Q: A rational function has the following characteristics: • A domain of [xx-3, x4, x ER} of [y]y = 1.y…

A: The rational function has the following properties, A domain of x|x≠-3, x≠4, x∈ℝ. A range of y|y≠1,…

Q: Q7 Find the equation of the rational function below with vertical asymptotes at x=-5 and x=1, and…

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Q: 3. For the function y = 27 (3) identify the following: i) Domain: ii) Range: iii) x- and…

A: Given function:- y=27(1/3)x

Q: 10. Given f(x): = Domain of f(x):_ Range of f(x): List all asymptotes of each type. If it does not…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Graph the rational function f(x) = sketch. and upload a photo of your On your graph, make sure to…

A: Topic = Function

Q: 10. Over what interval does the graph of the rational function have positive, decreasing slope? a.…

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Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…