|Recognizing functions from tables|
|Exercise Name:||Recognizing functions from tables|
|Math Missions:||8th grade (U.S.) Math Mission, Algebra I Math Mission, Mathematics II Math Mission|
|Types of Problems:||3|
The Recognizing functions from tables exercise appears under the 8th grade (U.S.) Math Mission, Algebra I Math Mission and Mathematics II Math Mission. This exercise begins to recognize what makes a relation a function.
Types of Problems
There are three types of problems in this exercise:
- Use the vertical or horizontal line test: This problem has a graph and the user is expected to look at the graph and determine if one variable is a function of the other.
- Solve to see if an equation is a function: This problem provides an equation and asks users to state whether or not it represents a function.
- See if chart is a function: This problem provides a chart and asks users to determine if the chart represents a function.
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 y in terms of x if it passes the vertical line test. It is a function of x in terms of y if it passes the horizontal line test.
- In a chart, a function will not have repeated x-values going to different y-values.
- In a rule, a function can be isolated for y.
- Functions are the building blocks of much of the calculus.
- Functions can be used to model many aspects of business and science.