(a) make a piecewise-defined function to model a real-life situation such as your commute, a monthly salary or a cell phone plan. State the function's equation and give a description of the function stating the input and output of your function.

(b) Sketch an accurate graph of your newly created function using appropriate axes values. (Note that in some cases it's appropriate to use non-integer values for the independent variable.) Include values where the function changes.

(c) Evaluate the piecewise function at three values and interpret what these points represent in the context of your problem.

 

(d) Identify the domain and range appropriate for your problem situation. Write the answers using set-builder notation. 

(e) State where the function is increasing, decreasing or constant using interval notation.