Find a value of the constant k, if possible, at which kx2 f(x) = x+k x> -7 is continuous everywhere. k = (enter "none" if no value).

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

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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: 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: For the continuous function f(x), if f’(-4) does not exist, then x=-4 is a critical point.

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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: 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: Find c such that the function f(エ) 8x- 20 I > C is continuous everywhere.

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

Q: Find numbers a and b, or k, so that f is continuous at every point. 5) f(x) = 10x + 8,if x < -1 kx…

A: If f is continuous , solimx→-1-fx=limx→-1+fx

Q: For what value of b, f(x) is continuous at every x? (a²x-2a f(x) = (12 x2 2 x< 2

A: As f(x) has two parts and both parts are continuous in given x so make continuous only at point x= 2

Q: Find a constant c such that x² – c2 if x 4 g(x) ={ is continuous everywhere.

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Q: Find the values of x for which the function is continuous. -6x + 5 if x O x # 0 O x # 5

A: The given function is  fx=-6x+5x&lt;0x2+5x≥0 Continuous: If limx→a+fx=limx→a-fx=fa, then function f…

Q: Let f(x) = {4x-5, if x &lt;= 7                      -3x + b, if x &gt; 7 If ?(?)f(x) is a function…

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Q: x< x3 B- If f(x) = Ax? is continuous at x = ; Find A? HIN IN

A: We are given : f(x)=x3       , x&lt;12Ax2     ,x≥12 is continuous at x=12 Condition for f(x) to be…

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

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

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

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: 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: Find all the intervals at which the given function is continuous. 1. f(x)=x^2 - 3x - 10

A: Continuity: A function is said to be continuous at if following conditions holds. 1) exists 2)…

Q: Given f(x) is a continuous function. If f( – 5) = 1 and f'(x) > 4 for – 5 <x < 2, what is the…

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

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Q: Find a value of the constant k, if possible, at which ( kx² f(x) = 3 -2x +k x> -2 x<-2 is continuous…

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Q: For what values of a and b is -2, xS-1 f(x) = ax - b, -1 <x<1 3, continuous at every x?

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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: х2+1 h(x): %3D х-5

A: A rational function is continuous for all real numbers except at which the denominator is zero.…

Q: find constants a and b such that f(2) +3 = f(0) and f is continuouspiecewise f(x) = ax + b , if…

A: We have been given a piecewise function and a condition f(2)+3=f(0) and the fact that f(x) is…

Q: The sketch that represents a continuous function, y = f(x), such that: f'(-3)=Ø f(-3) = 5 and A(1) =…

A: The graph of continuous function f(x) is given in the options. The given data of the function f(x)…

Q: The graph of a continuous function f : [0,9] → R is given below. The function

A: given F(x)=∫0xf(x)dx

Q: 3. Find the value of k that makes each function continuous over the given interval.

A: If function are continuous then both the side are equal

Q: Find the value that will make the following continuous * x² +c x -1 f (x) = x³ +1 -3 -2 -1

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Q: For what value of k is the following a continuous function?

A: Function is continuous if   limx→2-f(x)=limx→2+f(x)=limx→2f(x)

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

A: Given- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

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

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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: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5…

A: Note : “Since you have posted multiple questions with multiple sub-parts, we will solve the first…

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: Graph h and describe the discontinuity: for x 0 Is h left- or right-continuous?

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Q: Find the x-value at which the function is not continuous. Are any of the discontinuites removeable?

A: Find the function is removable or non-removable discontinuity.

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

A: Given function is

Q: At what points of R² are the following functions continuous?

A: A function is not continuous at the value of variables when the function does not give a defined…

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: 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: The function f(x) = k is continuous.

A: Given f(x) = k

Q: Draw the graph of a continuous function f(x) where f(-2) = 0, f(2) = 0, but there is no value c€…

A: Given: f(-2)=0 ;     f(2)=0but there exists at least one c∈-2, 2…

Q: f(x) = x² – 3x – 10 %3D

A: The limit of a function at a point is the value of the function when the value of the variable is…

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.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.