) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: 6.) Use the limit definition of the derivative to find f' (x), given f(x)=x-3 x+5

A: Consider the function

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A: Given   y = sin (x3) ....(1)   , (1, 2)

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Q: use the second derivative test to find the local exterma of the function  f(x) =x3-9x2-48x+72 on R

A:

Q: Find the local maximum and local minimum values of f using both the first and Second derivative…

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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: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

A:

Q: Consider f : R → R given by f(x) = x². What are the domain, codomain and range of f?

A: Let a function f : A→B thenDomain: set ACodomain: BRange: Values that comes out after putting values…

Q: Let f(x)=x+(1-x)^(1/2). Find the local maximum and minimum values of f using both the first and…

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Q: What is the upper bound of the function? f (x) = 4xª 25x² – 5x = 13 = 4r4 5х -13 --- Enter your…

A: Given : f(x) = 4x⁴ - 25x² - 5x - 13

Q: The Range of f(x) = V1-x is 1. [-1, 0) 2. (-, 1] 3. (-0,0) 4. [0, 0) 1 2

A:

Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)…

A: The function is  f(x)=x2-x-2

Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

A:

Q: Find an example of a function on the real line, R, that is contin- uous everywhere except at x = on…

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Q: The function is on the interval くx< (segment 1), on the interval くく |(segment 2), and

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 – 6x² –…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. g(x) = x +-,4]

A: here we need to find absolute maximum and absolute minimum values of given function . the solution…

Q: 1. Use the limit definition of the derivative to find g'(x) if g(x) = 2x² – 6x + 13.

A:

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

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 − 3x2…

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Q: Use the definitions of increasing and decreasing functions to prove that       f(x) = x3 is…

A:

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: Find

A:

Q: Determine the global extreme values of the function on the given domain. f(x, y) = 3x³ - 7y, osx<1,…

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Q: Find and sketch the domain of f(x, y) = 9-x2-y2 Vy2-1 %3D What is the range of f?

A: We have to find the points where the function is defined.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 3x2 − 12x +…

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Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: Find the absolute minimum and absolute maximum values of f on the given interval. fx) =Dx -In(7x),…

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Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: Find a function flx) such that f(x) -llex and %3D 3. f(0)-- 주

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x2 + 3x…

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Q: - Given f(x)= -, find f(x). 2+x %3D 6.

A:

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

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Q: Find the absolute minimum and absolute maximum values of f on the given interval f(x) = x - In(2x),…

A: see next step

Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Determine the number of stationary points of the functionf(x)=x(x−1)(x−2)and indicate the intervals,…

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Q: 46. Let f(x) = x³ - 4x² . Find the points on the graph of f where the tangent %3D line is…

A: 46. The given function is fx=x3-4x2. Differentiate fx with respect to x. f'x=ddxx3-4x2=3x2-8x Now,…

Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

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Q: Find the slpoe of the secant line between the values x 1 =-1 and x 2 =3 for f(x) = 8x - 3

A: Givenf(x)=8x-3x1=-1  x2=3

Q: Find the minimum and maximum values of f (x) = x² – 8x + 10 on the interval [0, 7). Sketch the graph…

A: f(x) = x2 -8x+10

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Q: Find the absolute maximum and minimum values of f(x)= 1/4x^4 -x^3 on the closed interval [ -1, 4].

A:

Q: Find the absolute maximum and absolute minimum of f(x) on the given interval f(x) = -2x2 + 4x – 3,…

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Q: Find the domain of the function using interval notation. f (x) = -2a (x – 3) (x – 5) | | To enter…

A: soution:-f(x)=-2x(x-3)(x-5)To find the domin of f(x)The domain of a function is the set of all…

Q: Use the First Derivative Test to find the x-value(s) at which the function 4 f(x) = x4 - 4x² + 1 X.…

A:

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