As the programmers design video games, they often work with mathematical functions that deal with the movements of people, trajectories of objects, and other actions. These mathematical functions are often represented as graphs. Your manager has asked you to create a discussion that can serve as a resource to help all the programmers better understand graphs. Select one of the following functions:
Constant function
Linear function
Quadratic function
Cubic function
Square root function
Absolute value function
For the selected function, perform each of the following:
Graph the function (attach graph to the Discussion Board post).
How can a change in the coefficient/constant affect the shape and location of the graph on the Cartesian plane? (For example, how do the graphs of y = 2x + 3 and y = 2x - 7 compare?)
Give the domain/range of the original function.
Give a real-life application in which your graph might be used.