Given the function yx-4x. Determine 1. intervais of increasing and decreasing points of local maximum and local minimum intervals of concavity and points of inflection Hence, draw the graph of the function by plotting all the points calculated from (I0 to ().

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A: The derivative of the function will give the value of slope. For two value of x, f(x) will have…

Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) x2 – 1

A: Sketching curve and finding extremums.

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Q: If  P=27/47 +r2 , determine the value of r for which P will be a minimum. Use the second derivative…

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Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and…

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given  Demand equation of x  p = -x8+26    ......... (1) Revenue function  R(x) R= p.x Putting the…

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Q: Given f(x) = x^3 - 27x + 5, list the interval (a,b) where f(x) is decreasing, AND at what x-value…

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Q: For each of the following functions find the intervals of increase and decrease, the local minimums…

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Q: For the graph of a function y = f(x) shown on graph, find the absolute maximum and absolute minimum,…

A: Absolute maximum at x=3 and absolute maximum value=7

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A: Given the function f(x)=-x+43 To find absolute and relative extrema at -4,-3

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

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Q: Find the intervals in which the function f(x)=x' -9x² +24x+15 is increasing/decreasing. Also find…

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Q: Find the absolute extrema of the function on the closed interval. 9x2 g(x) [-2, 1] х — 2 minimum (х,…

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Q: Find the location of the indicated absolute extremum for the function. Minimum 4 4 3 -1 -2- X = -3 Ó…

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Q: For what value of x does the function f(x) = 4x attain the absolute minimum %3D in the interval…

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Q: For the given graph f(x), identify the following: a. Intervals where f is increasing 4+ b. Intervals…

A: Increasing interval: Graph goes up Decreasing interval: Graph goes down Constant:Graph goes…

Q: Sketch a graph of the functionf:R R, given by f(x) = -2z + 8r in the range r E-1. Find all the…

A: We need to graph function and find maxima and minima.

Q: Give the intervals of increase and decrease of f(x), give the local minimum values of f(x), and give…

A: Given : The function given is f(x)=x+6x23. Differentiate the function with respect to x.…

Q: Consider the graph of f'(x) = . At what value(s) of x does f(æ) have a local maximum? y4 4. 3 2- -1+…

A: f(x) will local maxima or local minima at the points where f'(x)=0 Maxima points: points at which…

Q: Use the following graphs to identify the points (if any) on the interval ⌊a, b⌋ at which the…

A: Observe the graph of f. the graph attains a absolute maximum at x = a, because at these location,…

Q: Use the following graphs to identify the points (if any) on the interval ⌊a, b⌋ at which the…

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Q: Sketch the graph of y = (x² – 1)² – (2x – 1)². [In your answer, you must include the following: •…

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Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=-…

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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: Given that a function y=x3, has a vertex at (-2,0), a local maximum at (-1,3), and a local minimum…

A: Given that a function y=x3, has a vertex at -2,0, a local maximum at -1,3, a local minimum at -3,-3,…

Q: For the function f(x)= x-2ln(x), 1/2 is less than or equal to x which is less than or equal to 8.…

A: Given:The function f(x) = x - 2 ln(x), the interval is

Q: Use the graph to state the absolute and local maximumand minimum values of the function.

A: Absolute maximum value= 5  Absolute minimum value= None (because there is an open circle at the…

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: 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: The derivative of f is xʻ(x-2Xx+3). At how many points will the graph of ƒ have a relative maximum?…

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

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Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

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

A: For finding Absolute Maximum and Minimum in a closed interval [a, b] :  1. Locate all critical…

Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

Q: Determine equation in factored form for the function, f(x), shown on the graph. y Intercept (0,6)…

A: By looking at the graph it can be said that the function is of order 3. Here, the x-intercept is…

Q: for what value of x does the function f(x) =1/3x3-4x attain the absolute minimum in the interval…

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Q: find the absolute maximum and the absolute minimum valves of the function, if they exist, on the…

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Q: 4. Which of the following function has an absolute minimum on (-0, +0)? (a) f (x) = 5 – 3x² (b) f(x)…

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Q: Given the graph of f(x) below, find the absolute minimum y-value on the interval (-4, 6|, if it…

A: Here we calculate the absolute minimum of function using the given figure.

Q: Clear my choice The absolute minimum value of the function f(x) = 7x² – 14 + 6 over the interval [0,…

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Q: Consider the graph of the function f(x) = 2 x^(5/3) - 5 x^(4/3), the relative minimum is located at…

A: Note :- A relative minimum of a function is all the points x, in the domain of the function, such…

Q: For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum…

A: The absolute maximum of a function on an interval is the greatest possible value where the function…

Q: Use the following graphs to identify the points (if any) on the interval ⌊a, b⌋ at which the…

A: When the graph of a function attain its highest value within the domain of the function then, the…