For the following exercises, construct a function f(x) that has the given asymptotes. 287.  y=4, x = -1

Q: For the following function, y = -32 + 15x + 6x² – x³ (a) find the critical values, (b) test for…

A: Given:     y=-32+15x+6x2-x3 We have to find: Critical values, and test for concavity to determine…

Q: For the following exercises, find the critical points in the domains of the following functions.…

A: According to the quetion, we have to find the critical points in the domains of the functions…

Q: Match the function with one of the graphs below using horizontal asymptotes as an ald. 4x f(x) = y 2…

A: Let's find horizontal asymptote of given function.

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: For the following exercises, determine the point(s), if any, at which each function is…

A: Given  f(x)=5ex-2

Q: True or False The function f(x) = 2x/(x - 3) has y = 2 as a horizontal asymptote.

A: Given: fx=2xx-3 Concept Used: If degree of denominator is equal to the degree of numerator then…

Q: For f(x) = væ + 8, find ƒ '(x) using the definition f(x+h)-f(x) f'(x) = lim h h→0 f '(x) =…

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: f (x)=b•a¯* +c that has the horizontal asymptotes at y = 350, y–intercept of 70 and passing through…

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Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: critical points in the domains of the following functions. 113.________ y = (√4 − x^2)

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Q: For the following exercises, use the graph of y = f(x) to a. sketch the graph of y = f-l (x), and b.…

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Q: Q4/ For the function f(x) = 2x + x²-3x³ +6, answer the following: a. What are the critical points…

A: We are given a real valued function f(x)=2x+12x2-13x3+6 to answer the each part we will use the the…

Q: Find the interval(s) where the fuction is concaving up and when it's concaving down for  f(x) = ex…

A: Given function is,

Q: Find the vertical asymptote for the function y=3 sec 1/2x in the interval (0,4 pi)

A: The given function is y=3sec12x ; 0,4π

Q: Find an equation of the form f(x)=b·a¯* +c __that has the horizontal 2. asymptotes at y = 350,…

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Q: For the following exercises, decide if the function continuous at the given point. If it is…

A: Given f(x)=2x2-5x+3x-1 factor the numerator , the top of the fraction

Q: For the following exercises, decide if the function continuous at the given point. If it is…

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Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: For the following exercises, find the critical points of the following generic functions. Are they…

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Q: For the following exercises, determine whether the Mean Value Theorem applies for the functions over…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: The area of a disk as a function of radius is given by A = πr². How close must r be to 2.0 cm to…

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Q: For the following exercises, graph the functions on a calculator and draw the secant line that…

A: y=3x3+2x+1,  -1, 1. The graph is,

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: I need help with number 22

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Q: A software developer notices that the number y of downloads of an app (in thousands) is related to…

A: Given, y=2.6-0.4x Part a: We know that, Rx=yxRx=2.6-0.4xxRx=2.6x-0.4x2 Part b: To find the extremum…

Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: For what x-value is the function y = |x+5| not differentiable?

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Q: Q2: Find the missing values: - S7²G- 1)*dr 2-r- 2V = 02/3 +03/4, `18 dr de B- The function y = 2x…

A: Use substitutions for integration Differentiate wrt theta For vertical asymptotes put denominator…

Q: For y = 2 - 3/x2, determine the concavity and the x values where points of inflection occur.  On…

A: Point of Inflation Concavity

Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: Solution is given below..

Q: Q1) Find the distance between the oblique asymptote of the function f(x) and the x2-2 center of the…

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Q: Q1) Find the distance between the oblique asymptote of the function f(x) E***-4 and the x²-2 center…

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Q: Q4/ For the function f(x) = 2x+x²-3x³ +6, answer the following: 1 a. What are the critical points…

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Q: find the slang - (oblique)asymptote fy. f(&)=Jx3_8 X243x=1 S¥3-8

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Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: Complete the full analysis of the following exercises: 1- y = e* (x² - 3) The full analysis consist…

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Q: For the following exercises, use the limit definition of derivative to show that the derivative does…

A: To find the derivative of a function by using the definition of a limit, fx=x2x2+1 at x=a, let f:…

Q: For the following function, find (a) the critical numbers, (b) the open intervals where the function…

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Q: The number of mosquitos, M(x), in millions, in a certain area of Florida depends on the June…

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Q: Find the following for f(x) = 9ーズZ and sketch the grap x+2 a. x-intercept(s): 1302 b. y-intercept:…

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Q: For the following exercises, find the critical points in the domains of the following functions.…

A: we first differentiate y = 4(√x) − x^2 y'=2/√x -2x put y'=0 2/√x -2x=0 1-x√x=0 then x=1

Q: For what numbers x, - 2nsxs 2r, does the graph of y = sec x have vertical asymptotes?

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Q: f(x) = e* , find vertical, horizontal and oblique asymptote(s6) (if any)

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Q: For the following exercises, to find the slope of the secant line between the values x1 and x2 for…

A: Given,            f(x)=4x+7 ;     x1=2 , x2=5

Q: 7. Determine the equation of the oblique asymptote for the following function. 4x? +7 x – 11 f(x) =…

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