Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3 f(x) = 3x - 1 16 %3D 3 3

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

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: Sketch the domain of the following function. f(x,y) =/x - y -4 %3D

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Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7…

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Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

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

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

Q: Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x…

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Q: Find the values of c and d that make the function continuous. C = d= f(x) = 6x cx²+d 7x if x 2

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Q: Determine whether the following function is continuous at the given point x = 3x? + 14x – 5 1 x + 3…

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Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

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Q: Graph both functions on one set of axes. f(x) = 4X and g(x) = 4-X y y 15 15 10 10 5 5 -4 .2 4 -4 4…

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Q: At what points are the functions continuous? 1 y = 3x x - 2

A: Given function :                                                 y = 1x-2 − 3x…

Q: Homework: Draw the following functions 1. y= f(x)= 3x² +2 2. x +y =1 %3D 3. y = 4x-1 4. x=y 5. y=…

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

Q: . For each of the following functions f. find its domain. 2. (b) f(x) = (a) f(x) = x - 5 5x+ 6 (c)…

A: We have to find the domain of the given function.

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

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