Determine the x-values, if any, at which the function is discontinuous. -4 for x <-1- h(x) = { 0 for 1sxs1 2. x +4 for x > 1 A. -1, 1 О В. - 1, 0, 1 ОС. 1 O D. None

Q: find all possible functions with the givenderivative. y' = x3

A:

Q: find all possible functions with the givenderivative. y' = √θ

A: We first separate the variables

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Q: find all possible functions with the givenderivative. y'= 1√x

A:

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

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A: We will find the value of k as following.

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A: Given that: f(x)=-x2+5

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A: To find the absolute extrema of the given function in the interval [-5,0].

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A: Use the second derivative test to obtain the required intervals.

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Q: -3. 3) to the curve given by f(x) =

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A: (1) Given a function, fx=x33+x2-3x

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A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

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Q: For −10≤x≤14the function f is defined by f(x)=x^3(x+3)^4 On which two intervals is the function…

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Q: Q3/ A. For the following function f(x). Find: i. ji. m=? 1-4X m -UX.=-U 1-4X 1-4- 1-423 P(1,-1)…

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Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

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A: This question is based on application of derivative.

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Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

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A: For horizontal tangent first derivative must be zero

Q: find all possible functions with the givenderivative. y' = 2x - 1

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A: From the given graph, we have to find the points at which the function is differentiable

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A:

Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

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Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

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A: Answer is following.

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A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: 4. Find the intervals of concavity for the function f(x) = e-/3. Identify any inflection points.

A: use double differentiation =0 to find inflection points and concavity

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A:

Q: (3) Find the absolute extrema of the function on the specified interval: f(x)=x² +3x² +1,[-1, 4)

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Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

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Q: 19. Find the absolute extrema of the function on the indicated interval. f (x) = xe-3x;[-1,2] хе

A: As a first step, we need to find all the critical points by equating the derivative of f(x) to zero.…