Domain and range from graph

The  exercise appears under the Algebra I Math Mission. This exercise uses a graph to determine the domain and range of functions.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the domain of the function: This problem has a function drawn on the Cartesian coordinate plane. The student is asked to use the picture to determine the domain and fill in the spaces correctly to answer the question.Darfg1.png
 * 2) Find the range of the function: This problem has a function drawn on the Cartesian coordinate plane. The student is asked to use the picture to determine the range and fill in the spaces correctly to answer the question.Darfg2.png

Strategies
Knowledge of function mechanics, especially with the graphical form of a function, are encouraged to ensure success on this exercise.
 * 1) Domain is the set of x-values that are valid for a function. Imagining the graph projected onto the x-axis (like a shadow) can assist with visualizing the correct answer.
 * 2) Range is the set of x-values that are valid for a function. Imagining the graph projected onto to the y-axis (like a shadow) can assist with visualizing the correct answer.

Real-life Applications

 * 1) Functions are the building blocks of all modeling, and so they are vital to represent approximations of real-life situations in almost all fields of inquiry.
 * 2) Many problems in first semester calculus develop ways to use derivatives in relation to graphs.