Lesson 6.2: Applications of Linear Systems

Question 1

Piecewise Function

Answer 1

A piecewise function is composed of multiple branches or multiple functions. Each branch has its own sub-function definition and domain. The essential idea of a piecewise function is that it is composed of multiple sub-functions along its domain.

Question 2

Absolute Value Function

Answer 2

y=a|x-h|+k

Question 3

Optimization

Answer 3

making the best mathematical decision (often MOST money earned or LEAST money lost in a situation) based on the given starting information

Question 4

Constraints

Answer 4

___________ are the particular restrictions of a situation due to time, money, or materials; a limitation on quality or quantity of something whether it’s a minimum, maximum, or both

Question 5

Theorem

Answer 5

(mathematical rule that can be proved to be true) The maximum or minimum values of an optimization equation occur at the vertices of the feasible region – at the points where the boundary lines intersect.

Question 6

Linear Programming

Answer 6

mathematical process of analyzing a system of inequalities to make the best decisions given the constraints of the situation.

Question 7

Feasible Region

Answer 7

region of possible solutions (found by finding constraints)

Question 8

Bounded

Answer 8

bounded in regions that has a place to stop in all directions. You can think about the constraints like fences. If there is a fence all the way around your backyard, this would be considered a bounded region.

Question 9

Unbounded

Answer 9

You may have also seen some homes where the neighbors have fences, and so part of a person’s yard is fenced in, but it is not finished all the way around. This would be considered an UNbounded region. There are boundaries or edges to stop you in some directions, but not all

Question 10

Vertices

Answer 10

Corners of the feasible region