What similarities do you see between the functions that we're studying in Ch. 7 and the linear equations ...

Part 1

What similarities do you see between the functions that we're studying in Ch. 7 and the linear equations that we studied in Ch. 3? What differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate. 

Part 2

(a) Explain what is meant by the domain of a function.
(b) Explain what is meant by the range of a function.
(c) What are some similarities and differences between domain and range?
(d) When given an algebraic function, under what circumstances would the domain be something other than all real numbers?
(e) Provide an example of a function for which the domain is not all real numbers and explain why it is not all real numbers.
(f) Provide an equation or graph for your classmates to consider. Your classmates will determine whether or not the equation or graph is that of a function, and if it is of a function what the domain and range of that function would be. You can pull problems from the text or CheckPoint for this part of the DQ, but if you do please cite your source.