Without the aid of a calculator, find the local and absolute extreme values of the function on the given interval. 3x-4 f(2) = (-2,2) [-2, 2] 2 +1

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

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

Q: findthe domain of the function. f(x)=\frac{1}{2-e^{x}}

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Q: 1. If f(x) =+1 and g(x) = 1-V2x. Find f-1? Check your answer ? Draw f and g? Check your answer ?…

A: We have to find inverse function

Q: Find the values of b such that the function has the given maximum or minimum value.f(x) = −x2 + bx −…

A: Given function is: fx=-x2+bx-75 Then we get, f'x=ddx-x2+bx-75⇒f'x=-2x+b Then the maximum or minimum…

Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: To find the value of x at which the f(x) has absolute maximum value in the interval [-1,4].

Q: Find the value for the function. 1. Find f(3) when f(x) =Vx² + 4x. 2. Find f(x - 1) when f(x) = 5x2…

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Q: b) Find the domain and the range of the following function: f(x)=√x²-25

A: Please see the below picture for detailed solution.

Q: Find the open intervals on which the function is increasing or decreasing.     g(x) = x2 − 2x − 8

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Q: 4. (x) = x(x – 1) - 4x* – 3x* + 2x)

A: We have to find the value of degree, leading term, leading coefficient, and constant term of the…

Q: The value of f (3), for the following function f (x)=√√2x-20

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Q: Find the value f(0) for the function f(x)=√(6x+5).

A: Topic = Function

Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: For what value of x does the function g(x) = (x² – 4)² attain the absolute maximum in the interval…

A: First of all we will see what the extremum value of g will be.

Q: f (x) -x*-6х? +12-8 xE R

A: We find the local maximum of f(x) = 4-5x^2.

Q: The function f(x) = 3 - 4x - 2x2 is shown on this graph. f(x) 6 + 2 그 What value of at corresponds…

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Q: the function f(x) = 2x + 2, find all values x for which f(x) = 19.

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Q: Solve the given function if it is odd or even а. f(x) 4x7 5x5 + 9х3 + Зx b. g(x) 6x6 2x4 8x? +9 %D -

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Q: For what value of x does the function g(x)= (x²- 4)² attain the absolute maximum in the interval…

A: The given problem is to find at what value of x does function attain absolute maximum, we have to…

Q: Find all values of x where the function is discontinuous. g(x) = e2x-3

A: It is known that every exponential function is continuous on the interval -∞,∞.

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: 3. If f(x)=2x + k - 4 and f(f(k)) = 2, determine the value of f(-3).

A: Given: f(x)= 2x+k-4 and f(f(k)) = 2, then find f(-3) .

Q: What values of x would be found in the in the domain of function f(x)=10/x-2

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

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Q: Given the functions, f (x) = x – 3 g (x) = =3, and x-3 what is the simplified form of (f o g) (x)?…

A: The solution is given below in the next step:

Q: For what value of x does the function f(x) = x³ – 3x? attain the absolute maximum in the interval…

A: We have to find Absolute Maximum in the interval [-1,4] by Second Derivative Test.

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is:  (i) increasing on an interval (a, b) if f'(x)>0 for all elements of a, b.…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: f(x) = 2x4 - 144x2 + 4 f'(x) = 8x3 - 288x = 8x(x2 - 36) = 8x(x - 6)(x + 6)

Q: How many x-intercepts would the function shown below have? f (x) = –2x(x² + 4)(x+9)(x² – 2)(x + 9)…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ – 12x² – 27x + 10

A: to find the critical points take derivative=0

Q: 5. Given f(x) =-x+ 3 and g(x) = 2x2 – 5, find the value of f (0) + g(1).

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Q: 97. Suppose that f(x) Vx - 2. 0. What point is on the graph (a) Solve f(x) of f?

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Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

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Q: Find all values of 0, if 0 is in the interval [0°, 360°) and has the given function value. 2/3 Csc…

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Q: 37. For what value of the constant c is the function f continu- ous on (-∞, ∞)? [cx² + 2x_if x 2

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Q: (-3x +6 x1 x-5

A: First consider,f(x) = -3x+6; x < 0Now,

Q: Find the point of given function f(x)If f(x)=3x*-4x³+6. Find the maxima and minima of the given…

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Q: See attached

A: The given function:

Q: Given the functions g(x) = 2x + 3                                              x - 5  find g-1(x)

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Q: 6x318x2 10x +30 f(x) x 3 -3 and by the formula when x f(x) 3x2 5x a when -3 x What value must be…

A: To determine the value of a.

Q: Given f-: x → x- 2 x*-1. x + 1 ' If f (k + 3) = 7, find the value of k. %3D

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Q: Find the local extreme values and points of inflection of the function: f(x) = -2x'+6x-3.

A: Given,     f(x)=-2x3+6x2-3

Q: Determine where the given function is increasing and where it is decreasing. f(x) = x?(5 - x)2

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Q: What is the range of the given function below? 5x +3 f(x) = x +1

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Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum in the interval…

A: g(x)=(x2-4)2 attain the absolute maximum at in the interval -3,1

Q: The intervals on which the function f(x) = x – 4x° + 4x2 + 6 is decreasing

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Q: Find the locations and values of the absolute extrema, if they exist, for the function ƒ(x) = 3x4 -…

A: Maxima and minima: f(x)=3x4-4x3-12x2+2f'(x)=12x3-12x2-24xTo get maxima and minima f'(x)=0…

Q: -3 f(x) = x2 +2

A: By Absolute extremum value of a function f(x) we mean that the maximum or minimum values of f(x) for…

Q: Find the value of b that gives the function the maximum value of 14. If there is mo f (x) = -x² +…

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