Find the absolute extreme maximum and absolute minimum values for each function on the given interval. And graph so I can see what it looks like please. F(x) = -2x^3+36x^2-192x on [3,9]

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A: Consider the given 1 to 1 function.

A: fx=x+5x-3 To find the y-intercept, put x=0, we get f0=0+50-3=-53 Therefore y-intercept is 0, -53....

A: In this question, we will graph the piece-wise function.

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A: The given function is qx=3x+3 if x≤-12x+4 if x>-1. Let y=3x+3 on (-∞,-1] and y=2x+4 on -1,∞....

A: Given, f(x) = 3 - x if x < -4(x - 6) (x + 3)(x + 5)x -6 if -4...

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A: The graph is given for the polynomial.

A: Note : the piecewise function is continuous on the domain (the set of all real numbers)

A: Inflection points of a function are the points where the function changes its concavity and the...

A: Given, fx=5x+1 gx=2x2-3x+1

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A: Initial books = 50000 Let x represents the number of years after initial year, x = 1 represents...

A: As described, the function f is given as f(x, y) = max{x, y} Where x and y are positive...

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In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter...

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which ...

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the ...