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.
Standard:
MA.8.F.1.1
Description:
Given a set of ordered pairs, a table, a graph or mapping diagram, determine whether the relationship is a function. Identify the domain and range of the relation.
Standard:
MA.8.F.1.2
Description:
Given a function defined by a graph or an equation, determine whether the function is a linear function.Given an input-output table, determine whether it could represent a linear function.
Standard:
CC.2.2.8.C.1
Description:
Define, evaluate, and compare functions.
Standard:
M08.B-F.1.1.1
Description:
Determine whether a relation is a function.
Standard:
MA.8.F.1.3
Description:
Analyze a real-world written description or graphical representation of a functional relationship between two quantities and identify where the function is increasing, decreasing or constant.
Standard:
M08.B-F.1.1.2
Description:
Compare properties of two functions, each represented in a different way (i.e., algebraically, graphically, numerically in tables, or by verbal descriptions).
Standard:
M08.B-F.1.1.3
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.
Standard:
M08.B-F.2.1.2
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 or determine a graph that exhibits the qualitative features of a function that has been described verbally.
8th Grade Math - Functions Lesson
