The bar graph shows the percentage of country A high school seniors who applied to more than three selected years from 1980 through 2013. The data in the bar graph can be modeled by f(x) = x +31 ar 0.0215X in which f(x) and g(x) represent the percentage of high school seniors who appli three colleges x years after 1980. Use these functions to complete parts (a) through (c) below. a. According to the linear model, what percentage of high school seniors applied to more than three c % b. According to the exponential model, what percentage of high school seniors applied to more than % (Round to the nearest percent as needed.) Click to select your answer(s). O Type here to search
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.
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