March 28, 2015

Contents align to MA.8.CCSS.Math.Content.8.F Functions

- Mathematics > General
- Mathematics > Algebra
- Mathematics > Arithmetic
- Mathematics > Data Analysis & Probability
- Mathematics > Equations
- Mathematics > Geometry
- Mathematics > Graphing
- Mathematics > Number Sense & Operations
- Mathematics > Problem Solving
- Mathematics > Statistics

- Grade 6
- Grade 7
- Grade 8
- Grade 9
- Grade 10

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.