(3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8

Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

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Q: Find the intervals on which the function f(x)=x2+1x is increasing and decreasing.

A: We have to find the intervals on which the function f(x)=x2+1/x is increasing and decreasing

Q: Show that the function has a removable discontinuity at x = 4.

A: A function is continuous at a point x=a if limx→af(x)=f(a). For limit at a point to exist both…

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: find the intervals on which the function f(X) = x3+5x2-8x+1 is strictly increasing function

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Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

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Q: 3 Show that the function f(x) = - 2x + 5x has no relative extreme points. Relative extreme points…

A: Consider the function fx=13x3−2x2+5x Differentiate fx=13x3−2x2+5x with respect to x…

Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

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Q: Find the absolute extrema of the function on the closed interval.                          f(x) =…

A: The given function is Solve the absolute extrema on closed interval [0,4] by finding its derivative…

Q: Find the absolute maximum of the following function over the interval [1,3]: f (x) = x3 – 9x2 + 24x…

A: Differentiate the function with respect to  x and equate it to zero to find critical points,…

Q: What are the local extreme values of the function f(x) = x' + 6x² + 2? a. None of these. O b. Local…

A: Use derivative for finding the local maxima and minima

Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: Find the absolute extrema of the function on the closed interval. 5x f(x) [-5, 5] x2 + 16

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Q: Find the intervals in which the function f(x)=x' -9x² +24x+15 is increasing/decreasing. Also find…

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Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

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Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

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Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

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Q: Find the absolute maximum and minimum (if any) of the function, f(x)=3x'-5x' on interval -2,0|

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Q: If the multiplicity of the function f at the zero p is greater than 1, _f(x) then multiplicity of…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

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Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2 on the open…

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Q: Find the absolute maximum and minimum values of the function 3 f(x)%34 x- 15 x + 12 x +7 on the…

A: the correct answer of the question is option (b) i.e the maximum and minimum values of function…

Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

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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: Consider the function f(x) = 2x° + 9x² – 108x +1 with - 6 <x < 4 | This function has an absolute…

A: Given, f(x) = 2x3 + 9x2 - 108x + 1  Plot the function on the interval -6&lt;= x &lt;= 4. For solving…

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

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Q: Find the absolute maximum and absolute minimum of the function f(x) r2-6x + 5 over (1, 6].

A: Given function: fx=x2-6x+5 To find: Absolute maxima and absolute minima over 1,6.

Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: Find the extreme values of the function f on the interval [3,4]. (x^4)+(4/x)

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Q: Consider the function f(x) = -x/(9x^2 + 1) where 0 ≤ x ≤ 2 What is the absolute maximum ? At what x…

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

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Q: List the points in the graph in the interval 1 <x<7 at which the function is not differentiable 18-

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Q: Discuss the continuity of the function f(x) = {x^2 - 3x         if x &lt; 2           {2x + 4…

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Q: For the function f(x)=x^3-3x+1 defined on the interval -3 ≤x≤3. Find absolute maximum and minimum…

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Q: find the absolute maximum and the absolute minimum valves of the function, if they exist, on the…

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Q: between the graph of f(x) = x²- 2x and the x axis over the indicated interval [1, 2]

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Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: ⇒f(x)=x3+5x2-8x+1⇒f'(x)=ddx(x3)+5ddx(x2)-8ddx(x)+ddx(1)⇒f'(x)=3x2+10x-8⇒f'(x)=3x2+12x-2x-8⇒f'(x)=3x(…

Q: Find the domain and range of the function: 1 1- V5 - x

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Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Find the absolute maximum and absolute minimum of the function f(x)=x^3-18x^2+96x+150 on the…

A: The function is given by fx = x3-18x2+96x+150 To evaluate: The absolute maximum and minimum of the…

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: Find the absolute maximum and absolute minimum of the function f(x) = 1² - 4x +3 over (1, 4).

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Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

Q: The function f(x) = – 2x + 45? 300x + 7 has one local minimum and one local maximum. - - This…

A: Given,f(x)=-2x3+45x2-300x+7differentiating both the sides w.r.t. xf'(x)=-6x2+90x-300for local maxima…

Q: Find the absolute extrema of the function on the closed interval.                   f(x) = 4x / (x2…

A: f(x)= 4xx2+9so,  f1(x)= 4(x2+9) - 4x(2x)(x2+9)2Now equ    f1(x)=0=                4(x2+9) -4 x(2x) =…