S 2x, x > 1 Let f(x) x < 1 (a) Sketch the graph of f.

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist? (show full…

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Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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

A: Given function is fx=y=9x-ln x Differentiate the given function with respect to x,fx=y=9x-ln…

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

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Q: F(X)

A: y = f(x) is continuous at x = a  only if following properties are satisfy : (1)  f(a) exists . (2)…

Q: c) lim,→1+ f(x) where f(x) = { V1- x, x 1 | x +1,

A: Given query is to find indicated limits.

Q: 7 Sketch the graphs of f (x) = sin(π x) and its dilates f (3x) and 3f (x)

A: f(x)=sin(πx)

Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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Q: What is the end-behavior asymptote for the function f(x) = ? I+1

A: End behavior of the graph of a function fx is how the graph behaves when x approaches to infinity or…

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for…

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate…

Q: Find f'(x). 6. f(x) = 4x + 7x f'(x) = Compare the graphs of f and f' and use them to explain why…

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Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…

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

A: Consider the provided function, fx=x3-9x2+27x-27 Find the point of inflection of the graph of the…

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

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Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: Sketch the graph of f (x) = x |x|. Then show that f'(0) exists.

A: If f(x) is a continuous function, then derivative of the function at point a exits if and only if…

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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

A: We use to draw the graph then do some observation on the curve

Q: Find the values of a and b such that (-1, 2) is a point of inflection on the graph of f (x) = ax-…

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Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: 10. Find a function f such that f'(x) =r' and the line 4x - ļy = 3 is tangent to the graph of f. %3D

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Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: Sketch a graph of the function f(x)=0.5sin(3x)

A: The given function is f(x)=0.5sin(3x)   Here 0.5 is the amplitude and 2*pi/3 is the period and we…

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Find the vertical asymptotes of f(x)= sec(x)

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

A: Given, function is

Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

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Q: Q2: (20 mark) a) Differentiate the function f(x) = tanx -1 secx

A: We can solve this problem using quatiant rule of derivative.

Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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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: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: Consider function y = 4x divided by x2 + 3 Determine all relative and absolute maxima and minima…

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Q: The graph f(x) has horizontal tangents when x = 3 f'(x) 2+ 2 -1 0

A: Horizontal tangents have slope = 0. ie slope of tangent = f'(x)

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: sketch the curve f(x)= ln((x^2-4)/(x^2-3x-4))

A: given curve is                                                     f(x)=lnx2-4x2-3x-4 we have to…

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 intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

A: Given, f(x) = 4 + 6x - x2  f'(x) = 0 + 6 -2x                                   (because d(xn)/dx =…

Q: Use the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: Q9. For what values of x does the graph of f(x)=x-2sin(x) have a horizontal tangent? *

A: As per Bartlebys expert answering policy, we can only answer one question with its three subparts,…

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

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