3. a. Create a rational function R(x) that satisfies all of the following: i) no x-intercepts ii) a vertical asymptote at x = -3 iii) a hole at (2,15)

Q: 1) Use f (x) = -2 In(x + 1) to do the following: a. Find the domain of f b. Graph f c. From the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: Let f (x) y=x+4 y=x y=x+2 y=x-2 x²-x+4 x-3 . what is the equation of the oblique asymptote of f(x)?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider the function f(x, y) = √√√64 - x² - y². On a piece of paper, find and sketch the largest…

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Q: 2x+2x+1 Q2) Find the asymptotes for the following functions : f(x)= g(x) =

A: We have been given the two functions f(x)=2x2+2x+12xg(x)=x2-11+x2

Q: 1. (S8.Purple) Consider the following rational function (x² – x)(x+6) (x – 1)(x+7)(x– 8) r(x) (a)…

A: (a) domain of r(x)…

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: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions…

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Q: oblique asymptotes. e) a) y +4 b) y = f) 2.x + 3 2x + 5 c) y = 6- d) y = h) x + 3

A: We have to find

Q: Which of the following functions has exactly one vertical asymptote when graphed? a) f(x) b) f(x):…

A:

Q: x2 – 4 - a) f(x) = b) f(x) = x + 1 1 i) Find the domain and, if any, the intercepts of f(x). ii) If…

A:

Q: For each pair of functions, determine where the zeros of the origin function occur and state the…

A: We have to find

Q: Q2 Consider the function F(x)=2x-1-2 a) Graph Function b) Label at least 3 points C) Label the…

A: Fx=2x-1-2

Q: 3-3. (A) Find the intercepts for the graph, (B) Determine the domain, (C) Find any vertical or…

A: fx=3-3xx-2 Note: As per our policy we are supposed to do first three sub-parts of a question.