xe* if x < 0 g(x) = { x3 - 2x2 + x if 0 < x < c , if x 2 c

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

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Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: Under what circumstances can you extend a function ƒ(x) to be continuous at a point x = c? Give an…

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Q: is continuous or discontinuous at x = -4 using the three step continuit x + 6 x -4

A: We have to check continuity  of function

Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: Consider the following. X + 5 x2 f(x) - X - 3O Find the x-value (if any) at which f is not…

A:

Q: 1. What is the definition of what it means for f(x) to be continuous at x = a? Discuss the ways that…

A: In this question, we need to define the meaning of f(x) to be continuous at x=a and different ways…

Q: Suppose f' (x) = g (x) (x + 1) (x – 2)´, where g (s) is a continuous function which is always…

A: When f'(x)&gt;0 then function increasing when f'(x)&lt;0 then function decreasing

Q: Write a delta - epsilon proof that shows that the function f(x) = 3x – 5 is continuous at æ = 2

A: Let ε&gt;0 be given. Also let 0&lt;δ&lt;min1,ε3. Then for x-2&lt;δ,…

Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: Find c so that f is continuous at every point f(x) = 5x+12c, if x < -5 f(x) = (cx^2)+1, if x ≥ -5

A: Given- fx=5x+12c if x&lt;-5cx2+1   if x≥-5 To find- The value of c that  the above function is…

Q: Sketch a non-constant function that is continuous on (- o,00) and has the following properti f(-8)…

A:

Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

A: Given query is to find function is continuous not.

Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly…

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Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

A:

Q: Suppose that f(x) = 2 for x &lt; 3 and f(x) = -4 for x &gt; 3. (a) What is f (3) if f is…

A: For x&lt;3,f(x) = 2For x&gt;3,f(x) =-4Part (a) - f(3) = ? when f(x) is left continuous.f(3) =…

Q: f(x) at x = - 3 X-3

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Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: Consider the following. f(x)= x-5 / x2+3x-40 Find the x-values at which f is not continuous. Which…

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Q: Q3/ A) Decide if the following function is continuous using limits. x1. 2x g(x)= 3

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Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

Q: 1. Find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

A:

Q: 4 If f(x) = x 2 - function for all real values of x, then f(8) is equal to

A:

Q: Let f(x) = and let g be the function defined by %3D (x – 3)(x – 5) if x 3 () Evaluate li (b) Is ƒ…

A: We have to find

Q: 4. Find the values of x-values (if any) at which f is not continuous. Which of the discontinuities…

A:

Q: For what value of k will the function f be continuous on (-0,0)? x² –100 f (x) = { * if x + -10 =…

A: Continuous function should not have any abrupt (sudden) changes.

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: Consider the following f(x)= 2/4-x2 Find the x-values at which f is not continuous. Which of the…

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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: Show that the following continuous function has a root between l and 2. f(x) = 4x - 6x² + 3x - 2

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Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Does there exist a real number c that makes the following functions continuous over (−∞,∞)? If…

A: If function is continuous at point of given interval, then

Q: Find the value of k so that the function 5x +3 if x< 3 f(x) = - kx2 is continuous everywhere? if x23

A: we have to find the value of k where f(x) is continuous everywhere  Also find the domain in the next…

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

A:

Q: 1. f (x) = 3x² + 2x + 1 at x = -2

A: Given that:                            1. f(x)=3x2+2x+1                 at x=-2.2. h(x)=x+1x2-1 at…

Q: Determine if the following functions are continuOus at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: To check the continuity of the function, check the left hand and right hand limit of the function if…

Q: Which of the following is a function that has a jump discontinuity at x = 2 and a removable…

A:

Q: 1. (x) = 3x + 2x +1 at x = -2

A: f(x)=3x2+2x+1

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: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

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Q: Consider the following. 6 = f(x) = -x² +9 Find the x-values at which f is not continuous. Which of…

A: Given: As nothing is mentioned, we will be answering by graphical method. Graph:

Q: . Is the function continuous on the interval (4, 10)? (x + 1 if x > 8 f(x) = E) + 7 if x < 8 A.…

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

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

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Q: If a function f is continuous at 0, show that g(x) = xf(x) is differentiable at 0 and find the value…

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Q: Q2/A) Decide if the following function is continuous using limits. flxl=2x,x«0 5Vx,x>0

A: We know that polynomials are continuous in their domain. Therefore, for x&lt;o, f(x)=2x and for…

Q: For what value of a is the function continuous at every x?

A:

Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

A: