:Determine the values of x for which the following function fails to be continuous or differentiable. (1-x f(x) ={(1 - x)(2-x), 1 < x s 2 x<1 3 - x x> 2

Q: Find c such that the function x2 – 9 x с is continuous everywhere. - С —

A: f(x) will be continuous at x=c. when value of the function at c , left hand limit of f(x) at c  and…

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

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Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

Q: Find the value of the constant k so that f(x) is continuous for all real values of x where f(x) is…

A: Solution

Q: Suppose that f(x) is differentiable function such that f(1)=3 and f(1)=4. If g(x)= f(x) -, then what…

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Q: 8. Find all the points in the interval [1,5] for f(x) = -x² + 6x – 6 such that the function verifies…

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Q: Find the values of k for which the function f is continuous everywhere. k +2 if x< 1 f(x) if x2 1

A: the given function is a piecewise polynomial function therefore it is continuous at every point and…

Q: Are the following functions quasiconcave, quasiconvex, both, or neither: f(x) = x³ - 2x f(x₁, x₂) =…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x? + 2x + 1…

A: continuty

Q: 18. Suppose that f is a differentiable function such that f(g(x)) = x, and f'(x) = 1 1+(f(x))². Show…

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Q: Find the value of k so that the function ( 5x +3 if x<3 f(x) = | kx² is continuous everywhere? if x…

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Q: Determine if the given function is continuous at x=a, if the function is continuous, then determine…

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Q: all values of k that would make the function f (x) continuous at x = 3. I values of k exist, submit…

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Q: Consider the following function: - 4 if x 3 Find the values of a and b that make f continuous…

A: The function is continuous every where, if it is continuous at each point in the domain. The…

Q: Draw a possible graph of a continuous function y = f(x) that satisfies the following three…

A: The given continuous function is y = f(x).For a given continuous function if f'(x) &gt; 0 then the…

Q: Find the values of k that make the function continuous. k2 – 22x, x > 11 - f (æ) = kæ, x < 11

A: to find the values of k the function is to be continuous for x=11 value of k is 22 or -11.

Q: 19. Suppose f is a piecewise-defined function, equal to g(x) if x 2, where g and h are contin- uous…

A: Consider the given piecewise function. f=gx      x&lt;2hx      x≥2 The functions g(x) and h(x) are…

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

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Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) =…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Given the piecewise defined function g(x) = {_-lx! + k, if x < 3 x², if x ≥ 3 what value of k makes…

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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…

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Q: Let f(x)=4x^2-2x-2 find the following: 1) f(x+h)= 2) (f(x+h)-f(x))= 3) lim h→0 (f(x+h)−f(x))/h 4)…

A: We have to find 1) f(x+h)=2) (f(x+h)-f(x))=3) lim h→0 (f(x+h)−f(x))/h4) Find the equation of the…

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

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Q: 3x if x 2

A: Given that a function of f(x) and we find value of k. We know that if a function is continuous at x=…

Q: b. Determine the discontinuities of the following functions and state why the function fails to be…

A: i) F(x)=x3-x2-1ii) F(x)=x2-10x+2

Q: the following function is a continuous function at x=2 امرفق x² +x-6 x+ 2 x) = x2 - 4 x = 2

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Q: Are the following functions continuous? Why? 1. f(x) = x+3 at x = 2 2. f(x) = x-9 %3D -at x = 3 x-3…

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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: Sketch the graph of a continuous function y = f(x) that satisfies the following three conditions:…

A: Find your answer below

Q: xe* if x < 0 g(x) = x – 2x2 + x if 0 < x < c , .3 if x 2 c

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Q: Find the value of the constant ( a, b, or c) that makes the function continuous.

A: Given: fx=1x,x&lt;-1, x&gt;12ax+b,-1≤x≤12 if given function is continuous then limx→-1-fx=limx→-1+fx…

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

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Q: Which of the following functions does NOT satisfy the statement "If a function is continuous at x =…

A: We have to find the function that does not satisfy the statement "If a function is continuous at…

Q: Find all values of a such that the function f(x) = (x²+ 2x, if x<a -1, if x2a is continuous…

A: Given: x2+2x,    if x&lt;a-1,      if x≥a

Q: Is the following statement correct? If the function f is continuous at x=1, then the constant a…

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Q: The piecewise function f(x) is defined below. f(x) = {kx² - 4, Is-2 x+ 2, xS-2 x>-2 For what value…

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Q: (b). Determine whether the function is continuous or discontinuous at the given x-value. x²-3 x=-5…

A: Given function is

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: B. so, find f'(2). If not, explain why not. It can be shown that f is continuous at x = 2. Isf…

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Q: Then the value of k for which f(x) is continuous for all real values of r is

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Q: 3 b) Find values of x, if any, at which f is not continuous:f(x) =+2

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Q: 15 Determine ALL the values of a for which the function f(x) = 7r-343 is continuous.

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Q: (-x3 – 4x + 20 ,x > 3 2 – 7x , x < 3 Determine whether the function f(x) = is continuous at x = 3.…

A: From the given problem: fx=-x3-4x+20 , x&gt;32-7x , x≤3 As we know that:  If limx→a+fx=limx→a-fx=fa…

Q: 19 If f(x) be continuous function for all real values of x and satisfies; x2 + {f(x) – 2 }x + 2/3 –…

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Q: Find c such that the function x c is continuous everywhere. x² – 8 f(x) = {

A: ANSWER : c = 5

Q: Where is the function f(x) below discontinuous? if z 2 Choose all answers that apply. f(x) is…

A: This question is related to limit and continuity, we will solve it using given information.