Q1) Graph the following rational function, labeling clearly all intercepts and asymptotes. R(x) = x 2+ 4x-5/ x2 +x- 2 1. a) x- intercept(s) 1. b) y-intercept 1. c) Horizontal asymptote(s) 1. d) Vertical asymptote(s).

Q: 2x3 – 3x2 – 11x + 6 - f (x) = x2 + 2x – 3 a) Figure out the symmetry of f (x). b) Find x- and y-…

A: fx=2x3-3x2-11x+6x2+2x-3 a)

Q: irections: On the graph of a rational function below (red curve): a. Trace the two (2) asymptotes of…

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Q: x’+ 27 Find all the vertical asymptotes (if any) of the graph of the function f(x)= x+ 3

A: The line x=L  is a vertical asymptotes  of f(x) if the limit of function is infinite

Q: Given: f(x) = x -1 a) Find the vertical asymptotes. b) Find the horizontal asymptotes. c) Find the x…

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Q: Given the function -メ (X+2)(x-2) (h+xe-,x)x9- with y"=-6x(x²-ax + 4) (x+2)³ (x -)° groaaph Gf the…

A: y=-x3(x+2)(x-1)  →range: y∈(-∞,∞) , Domain: x∈(-∞,-2)∪(-2,1)∪(1,∞)…

Q: 1. Find the horizontal and vertical asymptotes of the graph of the function. 3x-3x-36 f (x) =

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Q: b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of…

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Q: 2. For the rational function f(x)= 2x2-2x-12 %3D x+3x-18 A. Find the domain of the function using…

A: The given rational function is,

Q: For the function f (x) = 4 csc (x + state the location of one of the 3 vertical asymptotes of the…

A: We know, the function have vertical asymptotes when the denominator is zero.

Q: (3) Let r(x) = 2x2 Sketch the graphs of the functions in the same xy-plane in the following steps.…

A: Introduction: To draw the graph of a real-valued function, there are many points that are followed.…

Q: Create a rational function, called F(x), that has: a point discontinuity (hole) At least one…

A: soution is given below

Q: a) Where are the horizontal and vertical asymptotes? (A – 1 marks) b) Describe what happens to the…

A: This is the application of calculus.

Q: Part. e. True or False: f(x) x = 3, x=- 3. = x-3 2 3x-8x-3 has two vertical asymptotes:

A:

Q: f(x) 2. Sketch the graph of asymptotes, and range. = 2x-1 x²-4 and give its domain, intercepts,

A: Given that fx=2x-1x2-4. To find the Domain, range, x-intercept, y-intercept, and graph of the given…

Q: 2. For the following rational function identify any holes, horizontal or vertical asymptotes,…

A: When a rational function has a common factor in the numerator and denominator, the function has a…