Sketch the graph of the function. Indicate the asymptotes, local extrema, and the points of inflection: 2x – 1'

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is…

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Q: Find the Arc lenght of the graph of the function f(x)=(4/5)x^5/4 on (0,4)

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Q: What type of functions are used with asymptotes

A: Explanation: There are three types of asymptotes that tells differently about function. vertical…

Q: The graph of a function g is given. Estimate (9(x)dx with 6 equal subintervals using (a) right…

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Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is…

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Q: Describe the behavior of the function f (2) around its vertical asymptote at z =-5. f (x)→ as x -5…

A: The given function is:…

Q: Sketch the inverse of the tangent function shown. Label any asymptotes and the y-intercept. |x=-1…

A: The graph for the inverse of the tangent function y = tan x is mirror image about the line y = x.

Q: Find the vertical asymptotes (if any) of the graph of the function f(x) = tan x

A: Given: Function f(x) = tan(x) To Find: Vertical asymptotes of the given function Concept: A vertical…

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: The graph is given we have to find the absolute extrema.

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: here we have to find the locations of any absolute extrema for the functions with graphs as follows.…

Q: Determine whether the function has a vertical sin(x + 9) %3D X + 9 O vertical asymptote O removable…

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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: The camera took six pictures every second. The curve of the zipline is approximately described by…

A: Equation of the of the zipline is,…

Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

A: Given the graph of function f(x)

Q: Find the vertical asymptote of the graph of f(x) Describe the behavior of f(x) to the left and right…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: The graphs of the tangent, cotangent, secant, and cosecant functions have ________ asymptotes.

A: We have to fill the following blank.. The graphs of the tangent, cotangent, secant, and cosecant…

Q: How can you determine from the equation of a function if it has a vertical as- ymptote or a hole…

A: We have to explain how to determine the vertical asymptote and hole of the given function.

Q: For f with derivative as in Figure : (a) Is f (c) a local minimum or maximum? (b) Is f a decreasing…

A: The function has local maxima or minima depending upon the first derivative as, If the sign of first…

Q: Which of the following is the x-coordinate of a relative extremum of the function f(x) = = Arct…

A: We will use first derivative test to determine the extremum of the function.

Q: tind the derivatiues of given functions with respect tox. 12

A: Please refer to the image below

Q: What is the range of the secant function?

A: For the secant function: y=secx Range is: y≤-1,or,y≥1 Or in interval notation: secx∈ (-∞,-1]∪[1,∞)

Q: Find the vertical asymptotes( if any ) of the graph of the function. ( use n as an arbitary integer…

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Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The function is y=lnxx. The vertical asymptote occurs at the points where the function becomes…

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

A: Given,

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: Given :  The function  y = xx  ,  x>0   To determine :   (a)   Asymptotes of the given function.…

Q: Use the graph of f to find the interval(s) on which f is decreasing., Where applicable, use interval…

A: we have to use the graph to identify where f(x) is decreasing.

Q: Graph the function by determining the key features of the curve represented by y=3x+3(2)1/2cosx​;…

A: we have been given a function y=3x+32cos x

Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: Use the graph of y = f(x) to answer the question regarding the function. Step 4 of 4: Is f(x)…

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

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Q: Graph the following. Be sure to clearly label any asymptotes and x- and y-intercepts. y=e×+3

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Q: Given the graph of the function f(x) below, estimate the slope of the tangent line to the curve at z…

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Q: Consider the given graph. 2 a) At which points the function is not differentiable. Explain why for…

A: a) From the given Figure it is clearly observed that, the function discontinuous at x=-2, x=-1 and…

Q: Find k such that the line is tangent to the graph of the function.

A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore,  −2x = −8…

Q: The horizontal asymptote for f(x) = sin(x) is %3D 2x

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Q: Which of the following functions has a horizontal asymptote at y =-?

A: Here, the objective is to find the horizontal asymptote of the function.

Q: Locate the discontinuities of the function andillustrate by graphing.        y = tan √ x

A: Consider the function y=tanx. Since tanx=sinxcosx x is defined for [0,∞) and cosx=0 at x=2n+1π22,…

Q: 5a3. Discuss the concavity and monotonicity (increase, Find all local extrema and inflection points…

A: To find: The all local extrema, inflection point, concavity and monotonicity of the function…

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

A: According to the problem, we have

Q: What is the equation of the vertical asymptote of f(x) = tan x where 0 < x < n

A: First draw the graph and get the vertical asymptot.

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

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Sketch the graph of the function. Incl y = tan(4x) %3D

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Q: Given the graph of f(x) in the figure, what are the x-coordinates of the local extrema? Enter yo…

A: We have to find x coordinates of local extreme.

Q: Find any relative extrema of the function f(x) = arcsec x − x

A: Maxima: sec-1x -x=f(x) f'(x)=1xx2-1-1f''(x)&lt;0So f(x) has maxima value .

Q: What are the x-coordinates of the local extrema of f(x) given its graph in the figure? Enter your…

A: We know that f'(x)=0 at those points where their tangents are parallel to the x-axis. So in this…

Q: y = + x2 (х — 2)2

A: Given

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

A: f(x)=x18-x

Q: Find the vertical asymptotes (if any) of the graph of the function.                             f(x)…

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Q: From the graph of f appearing in each plot, find its antiderivative. Antiderivative f- Ob Oc Oa

A: Given

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: given that  y=2x-tanx