Find a value ofk such that the following function is continuous at all real numbers. 3x-4 if x<1 h(x)= 3x+k if x>1 If there is no such value k, click on "None." Does not exist

Q: Find the value for k so that the function will be continuous at x = – 1. 9x2 – 18x – 27 +9 if x - 1

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Q: For which of the following values of x is f not continuous f(x) = (x-2)²(X+3) (x-2)(x+1)

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Q: The function f is continuous for all real numbers, and the graph of y = f'(x) is given. (a) Does the…

A: Given y=f'(x) is the function of the graph  a)Horizontal tangent lines: From the graph, we get the…

Q: Suppose that the function f is defined, for all real numbers, as follows. -x+4 if x<1 f(x) = 2x+1 if…

A: Given: fx=-x+4 ; x&lt;12x+1 ; x≥1   The graph of piecewise function shown as below.

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: Find the value of k that makes f(x) continuous for all real numbers. { 32-4 x 5 | Ok = 10 Ok = 3 Ok…

A: Given F(x) = {3 (x-4), x&lt;5             2 x2 -x x +3, x&gt;5} We have to find the value of x that…

Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

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

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Q: 4x f (x)=- x2 +4 %3D

A: f(x)=-4xx2+4

Q: Determine the interval(s) on which the following functions are continuous. x + óx + 17 flx2 = x² - 9

A: Given The function is

Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x&lt;-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: Find all values of k that would make the function f(x) continuous at x = such values of k exist,…

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Q: a) Determine the values of a and b, for which the following function is continuous at every x. ax +…

A: Given, h(x)=ax+2bif x≤0x2+3a-bif 0&lt;x≤23x-5if x&gt;2     Determine the value of a and b:

Q: Q2-For what value of b is the function x2 - 4x + 4 x # 2 f(x) = %3D x- 2 bx + 6 x = 2 continuous at…

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Q: Find the values of m, & k, for which the following function is continuous everywhere (8 marks) 2x +…

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Q: At what points is the following function continuous? x+2 y = x2 - 12x + 35 O A. The function is…

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Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

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Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: x+9 Find all x-values (if any) at which f (x) = is not continuous and specify which are x2+2x-63…

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Q: consider the function g(x) =   2 − πx         if x ≤ a               x^4              if x > a…

A: We are given the following function. We need to find a value of a. Idea: We will find the value of…

Q: x-1 f (x)=- x² +3x %3D

A: Given function: fx= x-1x2+3x Defintion: A function fx is continuous at a point a if and only if  1)…

Q: x²-4 f(x)%3D x2-5x+6

A: As we know that; The polynomial function y=fxgx is continuous everywhere except such ''x'' where…

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: Find the value of that will make the function f(x) continuous everywhere. f(x) = {ka² -2, (4x+k,…

A: Given function is- f(x)=4x+kx≤-5kx2-2x&gt;-5 To find- To find the value of k that will make the…

Q: onsider the following. f(x)= 1/1-x2   Find the x-values at which f is not continuous. Which of the…

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: We know that every polynomial function is continuous and differentiable. If a function is not…

Q: Find the values of the constants k and m, if possible, that will make the function f continuous…

A: f(x)=x2+5                x&gt;2m(x+1)+k      -1&lt;x≤2   2x3+x+7        x≤-1limx→2+  x2+5…

Q: The function f(x) = (x² - 4)/(x-2) is continuous at x = 2. Select one: O True False The function…

A: Continuity of function

Q: Find the values of m, & k, for which the following function is continuous everywhere 2x3 + x +7 m(x…

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Q: Find a value of the constant k, if possible, at which S ka² 1 - 2x + k r >-4 I <-4 f(x): is…

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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 values of the constants a and/or b needed to make the following functions continuous for…

A: To solve for the values of a and b which would ensure the continuity of the given function which is…

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 k so that the following function is continuous: kx f(æ) = if 0< x < 4 | 4x² if 4< x. k =

A: Given f(x)=kxif 0≤x&lt;44x2if 4≤xgiven it is continuous than it is continuous at…

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

A: The value of a function f(x)=p(x)q(x) does not exist at the point where q(x)=0 and is thus not…

Q: Given: e|3x-6| if x 3 1. Determine if f is continuous or discontinuous at x = 2 and x = 3. If…

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Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

A: continuous function

Q: Determine the interval(s) on which the following functions are continuous. 2 - 4x + 3 x - 1 s1x2

A: solution:-  f(x)=x2-4x+3x2-1we have to determine the interval at which function is continuous.

Q: Consider the following. x - 3 F(x) = Find the x-values at which f is not continuous. Which of the…

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Q: For what values of b is the given function continuous for every x? X - b b + 1 g(x) = x²+b x > 0

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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 what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: SBx? - з (Bx + 2 if Suppose that f(x) = x > 2 if Find the value of ß so that f(x) is continuous…

A: For continuity, left hand limit=right hand limit=f(x)

Q: Find the x-values (if any) at which the function f(x)=-12x²+ 4x+ 4 is not continuous. Which of the…

A: Option (d) is the correct option. The polynomial function is continuous for real values of x. The…

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

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Q: 3. Find the values of a and b such that the following wise function is continuous at points x-2 and…

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Q: Find the values of a and b so that the following function is continuous on the real line (-inf, inf)…

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Q: 5. Which of the following is true for f(x) = x² -4 ? X-2 There is a non-removable discontinuity at x…

A: As we know that; A polynomial function y=fxgx is continuous everywhere except such x where gx=0.

Q: Find the value of k which makes the following piecewise function continuous for all values of x. k-x…

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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.