1. Create a function f(x) in standard form with an oblique asymptote at g(x) = - x +4, hole at x = 2, a vertical asymptote at x = - 6 and a remainder R(x) =5. Make sure you show all your steps through this process.

Q: 3) If lim d(t) = 5, can there be a vertical asymptote in the graph of d(t) at t= 0?

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Q: 1. Suppose that when a patient takes a blood thinner drug at times t = 0, the amount of drug (in mg)…

A: Suppose that when a patient takes a blood thinner drug at times t = 0, the amount of drug (in mg) in…

Q: Consider h(x) = (x-2)/(x² - 4) %3D a. Vertical asymptote(s): b. Horizontal asymptote(s): C. Domain…

A: Topic- function

Q: y=0 is an asymptote for y=1/x.

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Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

A: Given that, the function is fx=3tan2.58x. Note that, the vertical asymptote of tan x is x=π2+nπ.…

Q: 1. Given the function 16) - Find (b) all vertical and horizontal asymptotes,

A: Vertical asymptote  where function not defined and vertical line in graph  Horizontal asymptote  we…

Q: 6. Write equations for the asymptotes for the graph of f(x) = sec 2x on the interval %3D 2 2

A: fx=sec2x ,   -π2, π2 Given function can be written as, fx=1cos2x     ∵secx=1cosx

Q: - I - ) Let r(x) : 12 + 4x + 3 a) Describe the long-run behavior or r(x), and give any horizontal…

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Q: Find constant a and B that guarantee that the graph of the function defined by f(æ) = ax+1 2-Ba will…

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Q: 4. If the graph of the function f(x) has a horizontal asymptote y=2 and vertical asymptote x--4…

A: Hence option (c) is correct.

Q: 4x Identify the horizontal asymptote of f(x) = 7 Oy = 0 4 Oy= 7 Oy = 7 4 O No horizontal asymptote

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Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: 5. What does it mean for y to have an asymptote (or floor) at y = 0? Explain.

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Q: (a) Write down a function that has vertical asymptotes at the points x = 1, x = 2, and r = 3, and a…

A: We have to write down a function that has vertical asymptotes at the points x=1,x=2, and x=3 and a…

Q: For the function f (x) = 2x² +1 x² –1 Vertical asymptotes are at x = and Horizontal asymptotes is at…

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Q: (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. r(x)…

A: We have to find asymptote

Q: 3 What is the equation of the vertical asymptote of Ax): 10x+ 2 ? O a) x- O b) x--s c) y = O d) y-

A: Given function is  f(x) = 3/(10x+2)  Find vertical Asymptotes.

Q: find the limit of rational function (a) as x→0 and (b) as x→ -o. 2x + 3 f(x) 5x + 7

A: To evaluate: a)limx→∞2x+35x+7,b)limx→-∞2x+35x+7 Solution: a)limx→∞2x+35x+7 limx→∞2x+35x+7 On…

Q: If f has a vertical asymptote at x = c then f(c) does not exist. True False

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: ind the equation of the horizontal asymptote for y = 12(1 + 2^−x)

A: Giveny= 12(1+2-x)

Q: The vertical asymptote of the curve 4x x + 9 is given by x =

A: We have to find

Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a…

Q: Find the horizontal asymptote(s) of y = Vx² + 5 – x . O y = v5 and y = -v3 No Asymptotes O y = 0 O y…

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Q: 1) A y intercept at the point 2) x intercepts at the point(s) 3) Vertical asymptotes at x = 4)…

A: Follow the procedure given below and solve similar type of question.

Q: ) Identify the horizontal and verical asymptotes of y = f(x) where %3D 2x2 – 4x – 30 f (x) 5x3 –…

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Q: 1. The cost in dollars, of producing x golf balls is given by: C(x) = 0.35x + 64 000 The average…

A: We will find out the required values.

Q: 5. Consider the function: 4x f(x) = %3D x + 5 a) Does the function admit any vertical asymptotes? If…

A: We have to find vertical asymptote

Q: 6. Suppose f(x) = 2* – 4 and g(x) = x – 2. Find the equa- tions of the tangent lines to these…

A: f(2)=22-4=4-4=0 f'(x)=ln 22xf'(2)=ln 222=ln 24 So the slope of the tangent at x=2 is (ln 2)4. Now…

Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

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Q: Please help me figure out what y2 equals to?

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Q: find the tirst asymptote of y = Tan(sx) %3D

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Q: Find the smallest positive value of c for which x=c is a vertical asymptote for the graph of the…

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Q: , Let k(x) = 6(2-x) x-9 This function has a zero at x = b. Determine the behavior near the vertical…

A: Find the zero, vertical asymptote and the behaviour of k(x) at vertical asymptote.

Q: 202 +1 For the function f (x) = x² –1 and Vertical asymptotes are at x = Horizontal asymptotes is at…

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Q: Give the formula for a function f(x) that has a vertical asymptote at x = -6 so the left hand limit…

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Q: How do you solve this and can you show me step by step?

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Q: 6. Find a function which has a horizontal asymptote at y = 1 and a vertical asymptote at 1= 1.…

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Q: Where is there a local maximum on the graph of the piecewise function f(x) = 2x + 5 if x 8?

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Q: * TO 7. Determine a function whose graph has vertical asymptotes at x = ±2 and a horizontal…

A: The objective is to determine the required function.

Q: A. What is the vertical and horizontal asymptotes in the graph of y=f(x) what is the domain?

A: Solve the following

Q: has: x-2 The function f (x) = x2 -4 O a) A Hole b) A Horizontal Asymptote O c) An Oblique Asymptote…

A: Using hole and horizontal property

Q: 5- Given the graph of f (x) as r -00, f (x) approaches the horizontal asymptote from z2.25 ..below…

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Q: 1 State the vertical asymptotes of f ( x 22—4а —12 Ox = 6, x = -2 Ox = -6, x = -2 Ox = 6, x = 2 Ox =…

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Q: a. Write the equation of a function with a vertical asymptote at x = −2 , a removable discontinuity…

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Q: 5. Determine the equations of the vertical asymptotes 1 S(x) = %3D x² - 8x + 12

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Q: 4e' Find the horizontal asymptotes of f(t) = 1+ e-i'

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Q: (d)What is (are) the asymptote(s) of f(x)? If there are none, say so. (e)Does f(x) have a…

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Q: 5. (a) Write down a function that has vertical asymptotes at the points r = 1, x = 2, and r = 3, and…

A: 5 (a) Consider the function f(x) has vertical asymptotes at the points x=1, x=2, and x=3, and a…