## FANDOM

1,861 Pages

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:

1. 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.
2. 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 ${x}$ as a function of ${y}$, ${y}$ as a function ${x}$, neither, or both.

## Strategies

Knowledge of function notations and the various forms of functions are an advantage when trying to complete this exercise.

1. A function must be assigned a unique output for any input.
2. 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.

## Real-life applications

1. Functions are the building blocks of much of the calculus.
2. Functions can be used to model many aspects of business and science.