After completing this exercise, students will be able to:
define and describe the applications of fundamental mathematical concepts from algebra
develop solutions to problems observed in personal experience based on fundamental mathematical ideas
and principles
solve algebraic equations including linear, quadratic, and systems of equations.
Procedure
Part 1
Practice graphing the elementary functions:
Use Desmos or GeoGebra to graph the following. Submit screen shots of every graph.
y=−x2+3
y=x−3−−−−√
y=−3|x|
y=x3−1
y=2x−1
y=2−x
y=ln(x+3)
For each graph, write its domain and range.
Compare each graph to its parent function (the basic elementary function).
Describe how each graph (i – vii) was transformed using the transformational rules.
Part 2
Design your own video game by using at least one of the following elementary functions:
Square Root
Cubic
Absolute Value
Exponential
Logarithmic
Provide a full description of how to play. Programming the game isn’t necessary.
Provide a full description of how the elementary function(s) will be used in the game.
Provide at least one visual as to what the game would look like to the player
Sample Solution