Function Investigation

Each of the following functions is represented below in a standard algebraic form. Let the variables x and y be of the set of all real numbers and let the constants a,b,and c be of the set of all real numbers.

You are to investigate the behavior of two of the functions with respect to the values of a, b, and c. You might want to start by holding two constant and changing the third. Then think abut possible combinations of values for a, b, and c.

Write-up what you find!You may use a TI graphing calculator, Excel, Graphing Calculator, and any other software or technology you find appropriate to enhance your investigation and presentation.

 Select one from this column  ...And one from this column

 

Exponential

Sine

 

 Power

 

Cubic Polynomial

 

Logarithmic