en the function f(x)= – (x+4)3, which of the following statement talks about its relative and absolute extrema at interval 4. - з]

Q: For which interval is the function f(x)=x√√4-x² continuous O (-∞, -4] and [4, ∞) O (-∞, -2] and [2,…

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Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Find the absolute extrema of the function on the closed interval.

A: Given: To Find: Absolute extrema of the function on the closed interval. Concept:

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: 3)Verify Rolle's Theorem for the function f(x) = 2x2 + 4 defined over the interval [-6, 6]. Justify…

A: Rolle's theorem is satisfied if : f(x) is continous at given interval. f(x) is differentiable at…

Q: 20. Suppose that f(x) is continuous and differentiable on the interval [-3,0], that f(-3) = -7 and…

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Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

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Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

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

Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

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Q: Explain why the function f(x)=xe^(-x^2) has an absolute maximum and minimum on the interval [−2, 2].

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Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A: Given the function f(x)=-x+43 To find absolute and relative extrema at -4,-3

Q: 7. Is the function given by G(x) at x = 2? Why or why not? 1 x² - 6x + 8 continuous

A: Theory : If A function f(x) is continuous at some point a, then it must satisfy All of these…

Q: On the graph of f(x)=cosx and the interval [2π,4π), for what value of x does f(x) achieve a maximum?…

A: see attached file for a detailed solution.

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

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Q: If f(x) < 0 for all real numbers x then f is decreasing on (-o, 00).

A: Proceed as shown below

Q: Determine where the absolute extrema of f(x) =--5x + 14x on the interval 1, 3] occur. 1. The…

A: Given function is

Q: 57. Is the function given by Sx + 1, for x 4, g(x) = continuous at x = 4? Why or why not?

A: gx=12x+1,   for  x&lt;4-x+7,   for  x&gt;4 Now left hand limit at x=4 is, limx→4-fx=limx→4-12x+1…

Q: 10. ( ) Find the absolute extrema of the funcion f(x) = 3 Vx2 - x on the interval -1, 1.

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Q: Find the absolute extrema of the function on the closed interval.

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Q: For what value of the constant c is the function f continuous on (-∞, 0)? { cx2 + 5x if x 4

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Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

A:

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: Determine where the absolute extrema of f(x) = 32/3 – 2x on the interval [-1, 1] occur. 1. The…

A:

Q: True or false: Suppose f(x) is a function that is differentiable everywhere. If f'(x) < 0 for all x,…

A: We have to choose true or false

Q: and the domain of the function using interval notation. To enter ∞o, type infinity. To enter U, type…

A: We can solve this as follows:

Q: Find the absolute extrema of the function on the closed interval.

A:

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

A:

Q: Determine where the absolute extrema of f(x) = 3x2/3 – 2x on the interval [-1, 1] occur. 1. The…

A: Given :               f(x)=3x2/3-2x on -1, 1   To determine:   The absolute maximum and minimum :…

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: 3-The function f defined by 2. Is f is Continuous at x=| ?

A:

Q: 28. Determine the absolute minimum value of f on the interval [-1/2,4]. f (x) = x³ – 3x? 16 7 -4

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Q: 24. Is the function continuous on the interval (-5, 5] ? 3х-1 f(x) = x-4

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: Find the absolute extrema of the function on the closed interval. 3x2 g(x) [-3, 2] X - 6 minimum (x,…

A: Given, gx = 3x2x-6           -3, 2 We have to find the absolute extrema of the function in the given…

Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: Function f(x) is defined as f(x) = x3 + 2x² - 20x + 10 in interval [-2, 1], what willI be it's…

A: Introduction :

Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?

A: Use given function find the required result

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

A: fx is continuous and differentiable function on the interval -7, 0, f-7=-3 &amp; f'x≤2.

Q: What is the largest interval in the function f(x) = x² - 2x + 1? A. (-∞, 1) B. (-∞, 0) C. (1, ∞)…

A: Function -  parabolic function    Option A is the correct option.

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

A:

Q: What does it mean for a function to have an absolute extremevalue at a point c of an interval [a,…

A: When an output value of a function is a maximum or a minimum over the entire domain of the function,…

Q: In calculus was claimed  that increasing (or decreasing ) functions  defined on a single interval is…

A: Consider a one - to - one function in an fixed interval.  For the function f(x), in the interval 0…

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x − 4/x − 2 are the same…

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Q: 3 The absolute minimum value of f(x)=x³ on the closed interval [-1,8] is a) 0 b) -1 c) 1 2 d) -…

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Q: 6. Is the function given by F(x) = at x = 4? Why or why not? 1 x² - 7x + 10 continuous

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Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval