The Recognizing functions from graphs exercise appears under the Mathematics I Math Mission, 8th grade (U.S.) Math Mission, Algebra I Math Mission, Mathematics II Math Mission, Algebra II Math Mission and Mathematics III Math Mission. This exercise begins to recognize what makes a relation a function.
Types of Problems
There are two types of problems in this exercise:
- Determine if word problem represents a function: This problem describes a situation in context. The user is expected to determine if the problem describes a situation that could be modeled with a function.
- Determine if drawing is a function of either variable: This problem has provides the graph of a relation. The user is asked to determine if the graph is as a function of , as a function , neither, or both.
Strategies
Knowledge of function notations and the various forms of functions are an advantage when trying to complete this exercise.
- A function must be assigned a unique output for any input.
- For graphical situations, a graph is a function of in terms of if it passes the vertical line test. It is a function of in terms of if it passes the horizontal line test.
Real-life applications
- Functions are the building blocks of much of the calculus.
- Functions can be used to model many aspects of business and science.