Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts. Provide evidence to support your position.

Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

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Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

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Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

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Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

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Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

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Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: Find the minimum value of f (x) = 7x² – 2x + 4 on the interval (0, 1].

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Q: Find the absolute maximum value of g(x)= 2x2 −2x−2 over [0,6].

A: We have to find absolute maximum value of f(x) in given interval.F(x) is given as:

Q: 10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and…

A: Consider the given question,Quadratic equation is a parabolic equation and its vertex is highest or…

Q: Suppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where…

A: Step:-1 Note:-  your cost expression is not clear here as it can be 5a+b4v3   or   5a+b4v3 , So i am…

Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

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Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

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

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Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the quadratic fúnction y= ax²+ bx +C whose graph pabses through the given points :(1,6),…

A: Given  The quadratic function y=ax2+bx+c and its graph is passing through the points 1,6,-1.-4  and…

Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Follow the procedure given below.

Q: If a quadratic function has a dilation rule in the form f'(x) = af (x)´, what will cause a…

A: We have to find out  horizontal dilation

Q: Is it possible for the graphs of two different quadratic functions to each have x = -3 as its line…

A: Given

Q: I am stuck on the maximum and minimum values of y and corresponding x.  Will you please assist on…

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Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.

A: Given: x=2f'(2) = does not existf"2>0

Q: A be a positive real number. If the absolute minimum value of f(x)= Ax³ – 45x³ on [0, ∞) occurs at x…

A: Applying critical point and absolute value test

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: topic - application of derivatives $9000 at 75 units

Q: Where does A(x) have a maximum? Explain why that answer is what you should have expected.

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Q: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

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Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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Q: Do you agree with this statement. Cubic functions must have at least one x intercept but not more…

A: Given statement : Cubic functions must have at least one x intercept but not more than 3 whereas…

Q: What is the minimum of f (x) = (x + 3)2 − 4?

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Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

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Q: It is given that at x = 1, the function x4 - 62x2 + ax + 9 attains its maximum value in the interval…

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Q: 1. Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 - 4 / x - 2 are…

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Q: if the function f(x)= x^3+ax^2+bx has the local minimum value -2/9 cube root 9 at x= 1/cube root ,…

A: Given fx=x3+ax2+bx has local minimum value -239 at x=13 to find  value of a and b explanation as…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

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Q: Do you agree with the statement that “cubic functions must have at least 1 x – intercept but not…

A: Given the given statement is that the cubic functions must have at least 1 x – intercept but not…

Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

Q: True or False? The function k(x)=3x/the square root of 5-x is guaranteed to have an absolute…

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Q: The minimum v value of this quadratic function is 0 v At the point ( ), the x-axis intercepts with…

A: We use the data from the graph to complete the sentences. The minimum value of this quadratic…

Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: In a certain company, the income from the sale of x thousand pieces of products is given by I (x) =…

A: We first try to find the profit function.  Profit= Income - Cost…

Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

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Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

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Q: The degree of f(x) is v and the leading coefficient is There are distinct real zeros and relative…

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Q: 7. a) Determine the restrictions on the y- intercept so that y = 3x2 + 6x - 1 intersects with a line…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.