Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2

Q: Given h(x)=−2x^2+x+1, find the absolute maximum value over the interval [−3,3].

A: Find h'(x) to find the critical points.The x-coordinate for critical point is (1/4).

Q: x²–3x +2. :? x2-x Which of the following is the infinite discontinuity of f(x)=

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Q: 3. Can you show for g(x) = that х-3 g(c) = -on the closed interval [-3, 2]? If so, find the value of…

A: Given: gx=xx-3, gc=-12;c∈-3,2 for finding value of c, where gc=-12 we put x=c in given function and…

Q: The absolute maximum of the function f(x) = 3x2 + 3x + 14 over [1, 7].

A: We first find the critical points using the f'(x)=0 f(x)=3x2+3x+14f'(x)=6x+30=6x+36x=-3x=-36x=-0.5

Q: Consider f (x) =x³ – 6x² + 9x + 3 defined on the closed interval At which value of x does the…

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Q: Find k such that f(x) = x° - kx? + kx + 35 has the factor x - 5.

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Q: For f (x) = 3x2 – 4x + 2, (a) find the absolute maximum and minimum on [-2,2] using Calculus %3D

A: The points of local minimum and local maximum can be obtained by differentiating the function and…

Q: Find the intervals of concavity and the inflection points for g(x)=x^4-54x^2+12x-4

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Q: Given the function f(x) = x³ – 3x² + 3x – 10, determine the absolute maximum value of f on the…

A: We have to find absolute value

Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

Q: Find and classify the points of discontinuity. х2 — 4 f(x) : х2 — х — 6

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Q: Find the absolute maximum and absolute minimum of f(x) =++x' - 48z over the interval 4,8. Answer:

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Q: Find the intervals of convexity and concavity of the functionf(x)=√2+x2.

A: We find f"(x)

Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: F(x)=-2x2 - 2x - 2 find the absolute maximum value over the interval (0,6)

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Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

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Q: Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of…

A: Given , Suppose that 2 &lt;= f’ (x) &lt;= 3 for all values of x. The minimum and maximum possible…

Q: . Use calculus to find the absolute maximum value and the absolute minimum value of f(x) = (x -…

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Q: Find the absolute maximum and absolute minimum of f(x) = +- 35x over the interval [3, 7). Answer:

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Q: The graohg of the funcation f(x)=ax^2+bx+c has vertex at (1,4) and passes(-1,-8). Find a,b, and c

A: Given equation f(x)=ax²+bx+c has vertex at (1,4) and also passes through (-1,-8) To find a,b and c

Q: 4. Which of the following function has an absolute minimum on (-o, +00)? (a) ƒ(x) = 5 – 3x² (b) f(x)…

A: Given: To identify which function has an absolute minimum on (-∞, +∞) a) f(x)=5-3x2 b) f(x)=x5+3x2…

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A: Use the first inequality and integrate all the values from 2 to 5.

Q: Find absolute maximum and minimum values (if any) of f(x) [0, 2] x2 + 1

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Q: Q7 Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x³ – 6x²…

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Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

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Q: 34. Find the value of the local minimum for g(x) =- x' + 27x + 25. - 3x127 -6x 34.

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Q: f(x) 0 for all x in the open interval (10, 14).

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Q: 1. Find the extreme value of the following function and check whether the extreme value is a maximum…

A: The stationary points are calculated by solving the equations: fx=0 , fy=0 together. The…

Q: Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

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Q: (7 Find the absolute extreme values (maxima minima) for gcx) = -x²+(6x -8 on Ca,4].

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Q: The absolute maximum of the function f(x) = 3x² + 3x + 12 over [1, 6].

A: f(x)=3x2+3x+12    over  1,6firstly, we have to find critical pointsf'(x)=6x+3=0⇒6x=-3   ⇒x=-36=-12

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: on is discontinuous on the specified interval. Vx2 - 64 if IS -8 if-8<x<8 88] 0 ifx28 f(x) = {x+8

A: If a function is continuous then the left hand limit, right hand limit and value of function at that…

Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

Q: find c such that f(x)=-0.2x2-3x+c has a maximum value of -224. what is the value of c

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Q: Find the open interval(s) on which f(x) = - 5x+ 50x +8 is increasing or decreasing.

A: Given that:

Q: 5) Find the absolute minimum and maximum values of f(x) = xª – 2x3 + 3 on the interval [-2, 3]. Be…

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Q: 5. If f(x)= kx³ + x² – kx+2, find k such that the graph of f contains the point (2, 12).

A: Given

Q: V21. Show that there exist constants M and N such that M||x||| < ||||2< N ||x|| -

A: Given ||x||1=∑i=1n|xi|=|x1|+|x2|+...+|xn|       ||x||2=∑i=1n|xi|2=|x1|2+|x2|2+...+|xn|2 Now we have…

Q: Given g(x)=−2x2+x−1, find the absolute maximum value over the interval [−2,4].

A: Given that:  g(x)=−2x2+x−1

Q: Find and classify the extreme values of f(x) = 6x4 – 4x over the interval [-2, 2].

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Q: Find the absolute maximum value of f(x) = 2x3 + 3x? – 12x on the interval [0,2]. 4 -7 20 6.

A: Let f(x)=2x3+3x2-12x on the interval [0, 2] To find the critical points, Differentiate f(x) with…

Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

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Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

Q: Use interval notation to represent all values of x satisfying the given conditions: y = 7 - lx/2 +…

A: y=7-x2+2

Q: Find the absolute maximum value of g(x) = 2x² – 2x – 2 over [0, 6]. Provide your answer below:

A: Consider the given function as gx=2x2-2x-2 over 0,6

Q: The absolute minimum of f(x) =¤+3x/3 on -8, 1 is إختر أحد الخيارات 8- a O -18 .b O -14 .c O 1 d O

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Q: Find the absolute maximum value of f(x) = x? - 2x + 12 over the interval (0, 5]

A: find absolute maxima if it is helpful, appreciate

Q: Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.