S [-x], if – 1

Q: f is continuous iff f-1(E) is closed

A:

Q: Find the domain of f(x) = 1/x and discuss the behavior of f near any excluded x-values.

A:

Q: Let f (x) = x3 - 7x. %3D Find all numbers c in the interval (-2, 0) for which the line tangent to…

A: given function is                                                  f(x)=x3-7x interval is    c∈(-2,…

Q: Find the domain of f(x) = 3x/(x − 1) and discuss the behavior of f near any excluded x-values.

A: Given function is f(x)=3xx-1 Since domain is the set of all those input values for which the…

Q: 9-x - S(x)= Vx- 6

A:

Q: D. Discuss the continuity of the function g (x): 1 %3D on the interval [-1,2]. x2-4

A: Given, To discuss continuity of the function g(x)

Q: (a) Let f(x) = x³ +x² + kx, k a constant. For what val- ues of k is f one-to-one? (b) Let g(x) = x³…

A:

Q: Sketch the graph of the function g(x) = 3cos(2x) on the interval -2n s x s 2n.

A:

Q: 7 Find the most general function F such that F'(): - 5V?.

A:

Q: For all x in the domain of the function +1, this func- tion is equivalent to: F.- G. 1 H. J. 1 x-x…

A:

Q: find the largest domain for f(x) = (x-3)2   with an upper x bound of 8 such that the function f is…

A: fx=x-32 Differentiating with respect to x, we get f'x=2x-3 Now function is non decreasing in the…

Q: Let A(x) f(t)dt, with f(x) shown in the graph below. -3- ** * T?

A: As per the fundamental theorem of calculus, given a function A(x)=∫0xf(t) dt, the derivative of this…

Q: 2. Let f(x) = e" + for x E [0,3]. Determine the length of the graph of f. 4e

A:

Q: Compute lim,0f (x) for each of the following functions f (x). 3x (c) f (x) = Vx2 + 8 3x (d) f (x) =…

A: topic - limits

Q: Find the value(s) of k such that the function x≤ 2 (x³ + k x³-8 f(x) = x > 2 ) x-2 is continuous at…

A:

Q: Find all values of x for which the function f(x)=(x^2+x-6)/(x^2-5x+6) is not continuous.

A: We will solve the problem.

Q: , for x 1 Let f(x) be a function de fined by f(x)3= Discuss the contuniuty of f andf".

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Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

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Q: Define g(-1) in a way that extends g(x) = 1 to be continuous at x= - 1. x² -x-2 2 9(-1)-D

A: Given that: g(x)=x2-1x2-x-2

Q: Find the function f(x) such that f' (x) = x²e# with f(0) = 0. O (x² - 2x - 2)e* + 2 O (x2 + x + 2)e*…

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Q: Let f (x) = x2 + 3x. Calculate R6, M6, and L6 for f on the interval [2, 5]. Sketch the graph of f…

A:

Q: 1. Let f(r) = 1– x². (a) Sketch a quick graph of f for -2 <r < 2.

A: The given function is The graph of the function is inverted parabola with vertex going in upward…

Q: B. Determine whether f(x) (x - 3) (2x + 1) (x + 4) is continuous at x= 3.

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Q: Is f continuous at x = 2?

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Q: The function f(x)=/25-x' is contionous on

A: It is continuous function.

Q: Consider the function f(x) = kx", where n is an even, positive integer. %3D (a) (3 points) If k < 0,…

A: Consider the equation

Q: (4) Sketch the graph of a function f(x) satisfying (a) f(x) 2 and for x 0 for x between -1 and 2,…

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Q: Define g(3) in a way that extends g(x) = (x? - 9)/(x - 3) to be continuous at x = 3. %3D

A: Given, g(x)=x2-9x-3

Q: Given the graph of f(x) below, what is the open interval(s) over which f′(x) is negative?

A: The graph of f(x) is as shown below :

Q: Find the open interval(s) of f(x), graph given below, where f'(x) is positive.

A: Given: The graph of the function f(x) is shown as: To find: The open interval of f(x) where f'(x)…

Q: Find x for which f(x) is not continuous: 3 x-1 f(x) =-+ x'x2 -1

A:

Q: form the graph of f(x) into th 5) f(x) = x³ g(x) = -(x – 2)° %3D 3 %3D

A: We have to find

Q: Define g(4) in a way that extends g(x) = (x2 - 16)/(x2 - 3x - 4) to be continuous at x = 4.

A: On simplification, we get

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Define h as x 2 Determine whether the function h is continuous h(x) = {3, x2 or discontinuous at x…

A: NOTE: Refresh your page if you can't see any equations. . if the function h(x) is continuous at x=2…

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: Find all points on the graph of, for which f′(x) = 0 and those for which f′(x) does not exist.

A: Given: f(x) = x2-123  To find: The points on the graph for, which f'(x) = 0 and those for which…

Q: Find the value of k so that the function f is k-x2 x3 X< 3 continuous at x=3 and f(x) х-8

A: Given, fx = k-x2x≤3x-8x&gt;3   We have to find the value of k so that function is continuous at x =…

Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Define g(4) for the given function so that it is continuous at x= 4. 5x - 80 g(x) = 5х - 20

A:

Q: let f be the function given by f(x)=kx/(x^2+1), where k is a constant.  For what values of k, if…

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Q: Let f(x) = Vx - 1 g(x) = v2- x obtaind )(x), and the domain of (x),

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Q: If g (x) = 1 - x, defined at 0 ≤ x ≤ 1, graph its extension on the interval [-1, 1].

A: extension of the function

Q: Find all of f(x)= x+1 4x+5 horizontal asympttes

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Q: , for x 1 Let f(x) be a function defined by f(x)=- Discuss the contuniuty of f and f'.

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Q: For f(x)= x^3 -2x^2 +x-1 , determine the concavity of the graph of f at x=-1 and x=4.

A: Given function

Q: Find the constant a such that the function is continuous on the entire real line. x² - a² if x * a…

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Q: Define g(3) in a way that extends g(x) = (x2 - 9)/(x - 3) to be continuous at x = 3.

A: Here, the given function The function gx is continuous at  x=a, if the following holds: (i) ga is…