Find the open intervals where the function Tx)=D -2x +12x +169x-8 is concave upward or concave downward. Find any inflection points.

Q: The function f(x) = x* - 18z is increasing on the intervals

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Q: Find the absolute extrema of the function on the closed interval.                         f(x) = 2x3…

A: We find the critical points by solving f'(x)=0 -1 is not in the interval [0,3] 1 lies in [0,3]

Q: Find the intervals where h(x) = x4 + 24x3 - 168x2 is concave up and concave down.

A: The given functions are,

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: Giveny = 5x2 + ln xwhere x > 0

Q: for the function f(x)=4x3-24x2, determine 1) intervals where f is increasing and decreasing? 2)…

A: Solution: The given function is f(x)=4x3-24x2

Q: On what domain is the function f(x) = 3 + V5x – 20 continuous?

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Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

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Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

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Q: Find the intervals of monotonicity of the function f(x)=√x−x2.

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Q: Does the MVT apply to f(x) =- x²_3x+5 on the interval [-1, 2]? (x-1)

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Q: Find intervals where f(x) = 2x3 - 18 x is increasing or decreasing. %3D Increasing Decreasing Done

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Q: Describe the intervals on which the function is continuous

A: Explanation: Given that,  f(x)=4x2+7x-2x+2     Concept Used: A function is always continuous if…

Q: Find the largest open interval where the function is changing as requested. Increasing y = (x² - 9)2

A: Given the  function y=(x2-9)2. We need to find the largest open interval in which function is…

Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

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Q: Use the IVT to find an interval of length ½ containing a root of f(x) = x3 + 2x + 1.

A: Intermediate Value Theorem If f is continuous on a closed interval a,b, then for every value M…

Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) < 0.

Q: Determine the interval (s) on which the function f(x) = 3xe* is concave down. O 号

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Q: Find the global extrema of the function f(x)=x3−6x2−15x+100 on the interval [−3,6].

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Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: find the largest open interval where the function is changing as requested. increasing y=(x^2-9)^2

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Q: Find the largest open intervals where the function f(x) = O (-∞, -1), (-1, ∞) O (-∞, -1) none O…

A: We have to find the largest subset where function concave upward

Q: Find the x-coordinates of all points of inflection, and find the open intervals where the function…

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Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

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

A: Relative extremum of a function are critical points of the function. Critical points of a function…

Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

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: Let f (x) = x4 + 2x3 −12x2 + 2x . Determine the intervals where f is concave upward and the…

A: Given function

Q: Determine the interval(s) for which f(x) =- - 2x2 is concave down. 12

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Q: where is the function f(x)= llxll-2 continuous (or discontinuous)?

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Q: Find the intervals of monotonicity of the function f(x)=xlnx.

A: Here the given function is Use the product rule of derivative

Q: Determine the largest interval on which the function f(x) = (x + 1) %3D is concave upward.

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Q: Determine the interval on which the function f( x) = 44x – 4-x+12 is concave down.

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Q: Find the absolute extrema of the function on the closed interval.                        f(x) = 7x2…

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Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: At which interval of x is the function of P(x)=(sqrt(1-x^2)) discontinous?

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Q: f(x) = х-16 at (5,8) Vx-4

A: We have given function fx=x-16x-4 and point 5,8.

Q: Find the intervals on which the function f(x)=x4−6x2−6x+1 is convex upward and convex downward.

A: We find f"(x) using the power rule

Q: Determine the intervals where the function f(x)=x*-2x +3 is concave up and concave down. Indicate…

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Q: Consider the function f(x) = x³ – 3x2 – 9x + 4 At what interval is the function concave upward? -…

A: The function is given by fx = x3-3x2-9x+4 To evaluate: The interval on which the function is concave…

Q: Find interval where f is decreasing

A: From the graph from t = 0 to t = 2   ;          f = 2 from t = 2  to t = 4   ;          f is…

Q: Find the absoltute extrema of the function f(x)=x"-32x+256 on the interval-5,5

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Q: Find the intervals in which the function f(x)= 2x* +8x -5 is concave up/concave down. Also, find the…

A: inflection points of y=2x4+8x3-5

Q: Find the intervals on which the function is continuous. f (x) = { %3D 3, x = 2

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Q: Find the interval(s) where f is concave up for f(x) -4x4-3x- 5x-10 0)

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Q: Find the open intervals on which the function f(x)=x+4sqrt1-x is increasing or decreasing.

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Q: given the function g(x)= x^3-2x^2+x, find the intervals when g is concave up decreasing at the same…

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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: Determine where f(x): V4 - x2 is continuous. Express the answer in interval notation.

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