List the intervals of increasing and decreasing for f(x)=2x3-7x2 - 19. List all local maximums and minimums.

Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

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Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

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Q: Find the maximum or minimum value of the function. f(x) = 7 − 8x − x2 Is this a maximum or…

A: f(x)=7-8x-x2Differentiate with respect to xf'(x)=-8-2xf'(x)=0-8-2x=0x=-4f''(x)=-2<0x=-4 is…

Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

Q: Find the value of m if f(x) = (6m +1)x² + 4x - 3 touches the x-axis at only one point

A: To find: The value of m if  f(x) = (6m+1) x2 +4x-3 touches the x-axis at only one point.

Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: Find the absolute maximum of the function f(x)% = X- %3D 1 + x2

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

Q: Find the absolute maximum value of g(x) = -2x + x-1 over [-3, 5]. %3D | Provide your answer below:

A: Given g(x) = -2x2 +x -1           [-3, 5]     Absolute maximum occur where g'(x) = 0   or at the end…

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: Find the points on the graph for the function at the value f(x) = 3. x2 7x + 12

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Q: Find the critical point of the function f(x) = 3x² – 12x Answer:

A: We will find out all the required values.

Q: Determine the image of the function 12x + 27 f(x) x² – 4x + 5 for all x E R. Solve the problem…

A: Given fx=x2-12x+27x2-4x+5

Q: Use the function f(x) to answer the questions. f(x) = −16x2 + 60x + 16 Part A: What are the…

A: Given   f(x) = -16x2+60x +16                     = -4 [4x2-15x -4]A.  To find x- intercept , put…

Q: Given the function f(x) = 3x² – 12x –17: Write the function in vertex form. Find the ordered pair…

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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 the equations of any vertical asymptotes for the function below. x² + 3x - 10 2 f(x)= 2 x-2x-35

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Q: The graph of f(x)=3x is reflected about the y-axis and stretched vertically by a factor of 4 . What…

A: Given,         The graph of f(x)=3x is reflected about the y-axis and stretched vertically by a…

Q: Find the all maximum and minimum values of the function f(x) = 4x3 – 6x2 + 8, given the domain…

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Q: Consider the function. x +5 f(x) = x3 + 5x2 – 4x 20 For what real values does y = f(x) have a…

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 3x −…

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Q: Find the absolute maximum and minimum, if either exists, for f(x) = 4x° -x*. ..... Select the…

A: Follow next step

Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…

A: we have been given  f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…

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 all values of x, if any, where the function f(x) = x5 - 5x3 - 20x - 2 has local maximum and…

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Q: Approximate the curve of the given function f. f(x) = x³ – 6x² + 20 Answer the following: Minimum:…

A: Topic = Functions   Maximum (0,20) Minimum (4,-12)

Q: Suppose the function  f(x) = 9x2 − 2x + 6  describes a physical situation that makes sense only for…

A: As per the question we are given an integer optimization problem with objective function : f(x) =…

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

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Q: (x + 1)² x2– 1 2. At what value of x does the function have an infinite discontinuity?

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Q: 7. Determine whether f(x) = -2r? + 12x + 3 has a maximum or minimum value. Then find the maximum or…

A: Given,         f(x)=-2x2+12x+3

Q: Given the function f(x)=-2x' +3x² + 36x , a) Find the intervals of increase or decrease, . b) Find…

A: Answer to the question as follows:

Q: 3. For the graph of the function f(x) = x² – 20x + 102, find the following: a. Use completing the…

A: To Determine: for the graph of the following a) use completing the square to find the axis of…

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 4 − x −…

A: Consider the function  fx = 4 − x − 3x4

Q: Find the absolute maximum and minimum values at the indicated interval f(x)=x^2-6x-3 ;[1,6]

A: Given function is: First find the critical points of the function by putting:

Q: The absolute maximum of the function f(x) = 2x? – 13x + 9 over 1, 6]. -

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Q: 1-x f(x) 三 x2 – 4

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Q: Find the value of the maximum or minimum limit of the function ** 8 - 4x2 + 1 f(x) Then write the…

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Q: Find the absolute extremum value 1. f(x) = x - 8x² + 16; on [-3,1]

A: Introduction: The maximum and smallest values of a function within a certain set of ranges are known…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x3 −…

A: Consider the following function: fx=x3-9x2+24x-18 Differentiate fx with respect to x:…

Q: The absolute maximum of the function f(x) = 4x? 12x + 10 over [1, 6]. -

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Q: Find the absolute extremum value 1. f(x) = x* - 8x2 + 16; on [-3,1]

A: Explanation of the answer is as follows

Q: Use the function’s equation, f(x) = 2x2 + 12x + 703 and not its graph, to find; a. the minimum or…

A: The function is given as, fx=2x2+12x+703 a. Solve for the critical point as,…

Q: Find the value of b that gives the function the given maximum value.f (x) = -x2 + bx + 2; maximum…

A: Consider the function  Maximum value=6

Q: Using only the values given in the table for the fun f(x) = -x + 4x+ 3, what is the largest interval…

A: Given,           f(x)=-x3+4x+3

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 absolute maximum and absolute minimum of the function f(x) = x? – 8x + 7 over [1, 8].

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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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Q: The function f(x) = 12 – 6x4 has an absolute maximum value of and this occurs at x equals

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.