Three parts (A, B, C). A. List zeros when multiplicity is even and odd. B. Write an equation, expressed as the product of factors, of a polynomial function that might represent the graph shown. Use a leading coefficient of 1 or -1 and make the degree f as small as possible. Answer in factored form. C. Use the equation in part B to find the y-intercept.
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.
Three parts (A, B, C).
A. List zeros when multiplicity is even and odd.
B. Write an equation, expressed as the product of factors, of a polynomial function that might represent the graph shown. Use a leading coefficient of 1 or -1 and make the degree f as small as possible. Answer in factored form.
C. Use the equation in part B to find the y-intercept.
![The graph to the right is a complete graph, that
is, it is continuous and displays the function's
end behavior. All zeros are integers. Answer the
following questions.
[-6, 6, 1] by [-100, 10, 10]
(a) List the zeros whose multiplicity is even. Select the correct choice below and fill in any answer boxes within
your choice.
O A.
(Type an integers or a simplified fractions. Use a comma to separate answers as needed.)
O B. There are no such zeros.
Click to select and enter your answer(s) and then click Check Answer.
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