**Colorado Academic Education Standards (CAS)**. A function is a rule that is performed on a number, called an input, to produce a result called an output. The rule consists of one or more mathematical operations that are performed on the input. An example of a function is y = 2x + 3, where x is the input and y is the output. The operations of multiplication and addition are performed on the input, x, to produce the output, y. By substituting a number for x, an output can be determined. Read More...

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Functions

CO.8.2. Patterns, Functions, and Algebraic Structures

8.2.1. Linear functions model situations with a constant rate of change and can be represented numerically, algebraically, and graphically. Students can:

8.2.1.a. Describe the connections between proportional relationships, lines, and linear equations. (CCSS: 8.EE)

8.2.3. Graphs, tables and equations can be used to distinguish between linear and nonlinear functions. Students can:

8.2.3.a. Define, evaluate, and compare functions. (CCSS: 8.F)

8.2.3.a.i. Define a function as a rule that assigns to each input exactly one output. (CCSS: 8.F.1)

8.2.3.a.ii. Show that the graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (CCSS: 8.F.1)

8.2.3.a.iv. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line. (CCSS: 8.F.3)

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