Think About It WVhat is the minimum degree of the polynomial function whose graph approximates the given graph? What sign must the leading coefficient have?

Q: Part B Find all points of intersection between the graphs of the functions. f(x)= x - 3  g(x)=…

A: according to our guidelines we can answer first question and rest can be reposted. I did not…

Q: 4 What is the maximum number of zeros for a polynomial function which is degree 5?

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: Strategy -Graphing a Polynomial Function 1. Check for symmetry of any type. a. f(-x) = f(x) =>…

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Q: Write an equation for the polynomial graphed below 5+ 2+ -3-2 -1 -1 2 \3 4 -5 -2 -3 + -4+ -5+ y(x) =…

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Q: If a polynomial function has zeros at -2, 0, and 2, does its graph have y-axis symmetry, origin…

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Q: What is the least possible degree of the polynomial graphed above?

A: The degree of the polynomial is the largest exponent with one of the variable in the polynomial To…

Q: 6+ 3- 2 What is the least possible degree of the polynomial graphed above?

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Q: A polynomial function has zeros 2, 4,-1. What is the minimum degree of the polynomial function? O A…

A: Minimum degree of polynomial=  total number of zeroes.

Q: Find the polynomial function (in simplest standard form) that would give a graph like the one shown.…

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Q: Explain the steps to sketch a graph of this factored form polynomial function. f(x)= (x-2)(x-1)3

A: Given,         The function is fx=x-2x-13 .

Minimization

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 terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

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.

Derivatives

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 one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

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 first derivative test and second derivative test to understand the concave behavior of the function.