Math.8.F.1 8.F.A.1 Math.8.F.2 8.F.A.2 Math.8.F.3 8.F.A.3 Math.8.F.5 8.F.B.5

Common Core Standards Functions
Grade:	8th Grade
Standard:	Math.8.F.1 or 8.F.A.1
Description:	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.
Standard:	Math.8.F.2 or 8.F.A.2
Description:	Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Standard:	Math.8.F.3 or 8.F.A.3
Description:	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. For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Standard:	Math.8.F.5 or 8.F.B.5
Description:	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.

A function is a relationship between input values and output values
wherein there is a unique output for each input.

If a function's input values are x-values and its output values
are y-values, then y can be referred to as a function of x.

Input	Output
-4	2
-3	-1
0	6
1	8
6	12

Input	Output
-4	-2
-3	-1
0	6
0	8
6	12

function

not a function

(-4, -8) (-2, 5) (0, 3) (2, -1) (4, -4)		(-4, 8) (-2, 5) (0, 3) (-2, -1) (-4, -4)
function		not a function


function		not a function

Common Core Standards

Functions

Math.8.F.1 or 8.F.A.1

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.

Math.8.F.2 or 8.F.A.2

Math.8.F.3 or 8.F.A.3

Math.8.F.5 or 8.F.B.5

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.