1. What similarities and differences do you see between functions and linear equations studied in chapter 3? A linear equation can have one, two, three or more variables and functions are expressed by using math symbols such as y is the output and x is the input.
Are all linear equations functions? Yes, unless the functions equal a vertical line.
Is there an instance in which a linear equation is not a function? Support your answer. If x=constant (a real number) which would make a vertical line.
Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
xy = 1
x + y = 2
3. What is the difference between domain and range?
The domain is the run portion of the equation or how far it goes out=x.
The range is the rise portion of an equation or how far it moves up or down=y.
Describe a real life situation that could be modeled by a function.
Fueling your vehicle and getting MPG from the amount put in the tank to how many miles it goes before empty.
A step by step detailed explanation is provided.