Find the value of k that will make the function f(x) continuous everywhere. 6x + k, x < 4 f(x) = ka? – 6, x > 4 such a k does not exist O 2 O 4 30 17

Q: If f'(4)=0 and f"(4)=-4, which of the following statements must be true? NAf has an inflection point…

A: Since f'(4) exists, that means f(x) is differentiable at x = 4.  Hence, it must be continuous at x =…

Q: x≤2 Q3. Find the value of k so that f(x)=(x², k-x², x>2 is continuous at x = 2

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Q: Which function satisfies all the following properties: is even is increasing for x<0 has a…

A: The function which satisfies even function, increasing for x&lt;0, and y=0 as horizontal asymptotes…

Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…

A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…

Q: 3. Find the values of a and b such that the following function is continuous at x = 4. Justify your…

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Q: Which of the following statements is true about the function f (x) = x> ? the function has a local…

A: Given :           fx=x5

Q: 2. Find the value of k so that the function Sa² + 25 |kæ – 40 is continuous at x = 5. defined by…

A: Given,          The function defined by fx=x2+25    x≤5kx-40    x&gt;5           is continuous at…

Q: Q#3 Find the absolute maximum and minimum values ofL.on the given closed interval, and state where…

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Q: 6x + k, x 4 such a k does not exist O 2 O 4 30 17

A: The given function,  f(x)=6x+k,x≤4kx2-6,x&gt;4

Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

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Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x&lt;-45x2+2x+a                       x≥-4f(x) is continuous…

Q: (x+14 if x S2 5. Let f(x) = x? if x>2 Find the value of k that will make f continuous on (- o, 0).

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Q: x+3 Where is f(x) discontinuous? 2²+4x+3 О-3,—1 O -1 O -3 O f (x) is continuous everywhere

A: To determine the points where the given function is discontinuous.

Q: 3 3-x7 X-3 if D < X< | if 1ぐメ4 if X 7 4, IS the function g(x) - Continuous on IH3 On on 0.0)?

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Q: х-4 ,x5 A 5 (B) -4 O 3 (E none of the given choices

A: Given, f(x)=x-4, x≤5kx2-24x+46, x&gt;5

Q: 4. Given the function f(x) = x³In x. Determine the following: %3D g. Intervals where the function is…

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Q: 81(a): Find the value of k that makes function continuous at x = 4 S f(x) = 2x + 6 x > 4 5x – k x <…

A: here f(x)=2x+6  x&gt;45x-k    x≤4according to definition of continuity,limx→-4 f(x)=limx→4…

Q: х — т %3D 1— тх if x < 3 if x 2 3 Find m so that g(x) = | Is continuous for all x?

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Q: Which one of the following statements is NOT always true? O The function x - 4x + 7 has an absolute…

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Q: 1. Find the value of the constant k such that the function f(x) = kæ² + 3 if x -1 is continuous for…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Which of the following statements is true about the function f(x)? f(x) = %3D f has a minimum at x-1…

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Q: , x5 X- 4 Given: f(x) = , find the value of k that will make f continuous on (-x, | kx² – A © -4 D…

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Q: (c) Let g : R → R be a continuous function such that +5x-9 g(t) dt = –3x . Help Willow find the…

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Q: (b) Given -3x + P for x7 Determine the value of p if f(x) is continuous at x=7. TEST DMI123

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Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use…

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Q: 4x + 1 Find a value of x, if any, at whichf(x) -is not continuous. %3D 16x + 8x + 7 Enter your…

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Q: 5. At x=0, which of the following is true of the function* n y = x? + e2 O A. f(x) is decrea sin g O…

A: if f' of a function &gt; 0 then f is increasing if f' of a function &lt; 0 then f is decreasing.

Q: a): Find the value of k that makes function continuous at z = 4 (3x +7 z> 4 3x-k I<4 f(x) =

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 7. Find the value of K that makes the function f(x) = (x² + 2 , x > 5 (x² – xk – 3 , x< 5 Continuous…

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Q: Find the values of c that make f continuous everywhere: x? – c2 if x 8 smaller c = larger c = Use…

A: Given function fx=x2-c2if x&lt;8cx+6if x≥8 The given function is continuous at x=8 then,…

Q: 9. The functionf is defined below. For what value of k. if any, is f continuous at x = 21 {x2 – 3x +…

A: As per our guideline if multiple questions are posted we are supposed to answer the first one.  The…

Q: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: Find the value of k that will make the function f(c) continuous everywhere 2x + k, x -5 -4 13 O…

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Q: 8+2x-x² x-4 8 x=4 than f(x) is continuous at x = 4. book Ask my instructor I T - |0| √i 5 Vi 1, 3…

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Q: Q 5) Suppose that f" is continuous and f' (c) = f"(c) = 0, but f(c) > 0. Does f(x) have a local…

A: Since f"(c)=0 and f"'(c) &gt; 0 So, this means f has point of inflection at x=c. Because f'''(c)=0…

Q: Q 12 Suppose g(x) is a continuous function on are x -3 and x= 5. If f(0) <6, explain why f(4) <6…

A: given that

Q: Find the value k that makes the function continuous. kx 10, x 10 M > f(x) = _ 4x + 10, x < 10 Submit…

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Q: 3. f(x)= A. True B. False 4x²-5, x≤4 is continuous and differentiable everywhere. 32x-69, x>4

A: We have to check whether the function is continuous and differentiable or not

Q: 42) For f(x)= x-1 if 03x S 3 a) Give the domain of f b) Evaluate (-2), 0) and /(3) c) Graphf d) Is f…

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Q: 4 For what value(s) of x is the function f(x) x2 - x- 12 | NOT continuous? A. x 3 and x = -4 B. x 4…

A: We have to find the point

Q: Find the value of k so that the function defined by f(x) =kr - 15 S2² + 25 x 5 |-

A: Given that, The function defined by fx=x2+25x≤5kx-15x&gt;5 is continuous at x=5. To find the value…

Q: 4 For what value(s) of x is the function f(x) x2 -x-12 NOT continuous? A. x= 3 and x = -4 B. x = 4…

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Q: Suppose we know that f(x) is continuous and differentiable on the interval [-7,0], that f(-7) = -3…

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Q: 2x Given f(x)= x? +1' XER. Prove from definition, that (--0, –1), (1, +∞) the function f is…

A: We have fx=2xx2+1 Now, for any x,y we have:…

Q: Find a value of k for which g(x) is continuous everywhere: x2 – 9 g(x) : x + 3 3 kx : x =

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Q: Find the value of that will make the function ƒ(z) continuous everywhere. f(x) = 4z + k, -5 0 =…

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Q: 4 For what value(s) of x is the function f(x) %3D х2 — х — 12 NOT continuous? А. x = 3 and x = -4 B.…

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Q: Q1:A/ Find the absolute maximum and minimum values of f(x) on the given interval. and local points…

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Q: Find a value of the constant k, if possible, that will make the function continuous everywhere.…

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