Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) (x² – 8, (8 – x2, f(x) = 86 4. -3 -2 -1 4 -2 -4 -6

Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: Where is f(x)= x³ differentiable? (interval)

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Q: f(x) = Vx + 2 + 2

A: f(x)=x+2+2

Q: Describe the x-values at which f is differentiable .

A: Given: fx=x2x2-4 To find the points where the function f(x) is differentiable.

Q: The domain of the function y= f(x) is (Type your answer in interval notation.)

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: The given function is (x-1)25. We have to find out the value of x, where the given function is not…

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: Can you help me describe the x-values at which the function is differentiable? (Enter the answer…

A: Given function is y=x2x2-81

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: Please note that differentiability is the third stage in the function investigation. First we need…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

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Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

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

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

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Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: F(X)=(X-4)2/5 F(x =2/5 (x-4)2/5-1

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

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

Q: 4x 82. f(x) = X - 3

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Q: Find the interval in which the function is negative. f(x) = x2 - 3x - 4 I. (- ,-1) II. (-1, 4) III.…

A: Given:   f(x) = x2 -3x - 4

Q: Describe the x-values at which f is differentiable.

A: Definition used -                       A function f(x) is differentiable at any point -…

Q: 1 f(x) = x* – 16x + 1 Determine where the function is concave up and concave down. Enter your…

A: We know, When the slope of a function continually increases, the function is concave upward. When…

Q: The absolute Extrema of the function f(x) = –x^2/3onthe interval (-8, 0 )are

A: To Determine: The absolute Extrema of the function on the interval (-8, 0 ) are…

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: 2. Locate the absolute extrema of f(x)=-5e¯* on the closed interval (-00,00).

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Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

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Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: Describe the x-values at which f is differentiable. f(x) = 3x/(x + 1)

A: Given function is: f(x)=3xx+1 As we know that, If a function is differentiable then it has no holes,…

Q: Describe the x-values at which f is differentiable x² - 5, f(x) 15-x, 2' 5 – x, x > 0

A: When x≤0 fx=x2-5 Left-Hand Limit  = limx→0x2-5=-5

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

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Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

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Q: Explain the steps you would use to determine the absolute extrema of f(x) = x – e²× on the interval…

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Q: Sx² - 1, xs0 f(x) = l1 - x², x>0 x > 0 15 10 3. -10 -15

A: Given function is                                                           f(x)=x2-1   ;    x≤01-x2…

Q: -4

A: Function f is differentiable at x=a if and only if f'(a) exists. f'(x)= (2/5)(x-4)^(-3/5) f'(x) is…

Q: What kind of discontinuity does f(x) = *-3 have at x = 2? X-2

A: A function is said to possess non-removable discontinuity if the limit of the function does not…

Q: Describe the x-values at which f Is differentlable. (Enter your answer using interval notation.)…

A: Describe the x-value at which f is differentiable  f(x) = √(x+1)  +1

Q: 4. For each part, find a real value c that makes f continuous at x=0, if possible. If not possible,…

A: A function is continious , when at that point limit of the function exists , and thatlimit is equal…

Q: Describe the x-values at which f is differentiable f(x) = √(x + 1) + 1

A: We have to describe the x-values at which f is differentiable fx=x+1+1. We know that a function f is…

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

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Q: On which interval is f(x) = x – 12x + 12 decreasing? o (-2, 2) o (-00, 2) o (-0, -2) U (2, +0) ㅇ…

A: Let's find.

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) Sx²…

A: Let , the given functionThe given functionfx=x2-6 , x≤06-x2 , x &gt;0We have to find the x-values…

Q: Find all points where the function f(x)=|x|^p is differentiable. How does the answer depend on the…

A: The left-hand derivative of the function at x=a is given by the expression…

Q: Consider the function: f (x) = −6x/ 6x^2 − 54 Step 1. Determine the intervals on which the function…

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Q: Describe the x-values at which f is differentiable. Sx2 - 5, x 0 10 -1 0 1

A: Here, the given function is: f(x)=x2-5, x≤05-x2, x&gt;0 which is a piecewise function.